Overview of sequences related to Boolean functions
| Studies of Boolean functions |
This page will be a collection of all integer sequences that appear in the project Studies of Boolean functions.
They appear in the following articles: Integer sequences related to Boolean functions, Seal (discrete mathematics), Gender of Boolean functions
Templates: general, seal
| all | dense | ♂ | ♀ | ♂−♀ | self- reverse |
self- dual | ||
|---|---|---|---|---|---|---|---|---|
| sequences | a | Grass GrassDrop |
Lotus LotusDrop |
HalfCrocus HalfCrocusDrop |
Primula PrimulaDrop |
Hyacinth HyacinthDrop |
~Grass ~GrassDrop |
~Grass ~GrassDrop |
| triangles | a, s | ExOlive ExOliveDrop |
||||||
| a, d | TurnedExOlive TurnedExOliveDrop |
|||||||
| a, v | Willow WillowDrop |
HalfCedar HalfCedarDrop |
Robinia RobiniaDrop |
Hickory HickoryDrop |
Chestnut ChestnutDrop |
Chinkapin ChinkapinDrop | ||
| a, g | TurnedWillow TurnedWillowDrop |
|||||||
| all | dense | ♂ | ♀ | ♂−♀ | self- reverse |
self- dual |
blunt | sharp | closed | unclosed | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| sequences | a | Thyme ThymeDrop |
NonSage NonSageDrop |
Sage SageDrop |
NonDubSage NonDubSageDrop |
DubSage DubSageDrop | ||||||
| triangles | a, s | Olive OliveDrop |
||||||||||
| a, d | ||||||||||||
| a, v | ||||||||||||
| a, g | ||||||||||||
| name | OEIS | entries |
|---|---|---|
| Aloe | A051502 | 2, 1, 2, 23, 3904, 134156284, 288230371925149328 |
| NonSage | A000133 | 1, 2, 5, 30, 2288, 67172352, 144115192303714304 |
| NonSageDrop | 1, 1, 3, 25, 2258, 67170064, 144115192236541952 | |
| Clove | 1, 4, 22, 1264, 33617920, 72057598265786368 | |
| CloveDrop | 1, 3, 18, 1242, 33616656, 72057598232168448 | |
| Crocus | 2, 6, 26, 318, 66674, 4295297718, 18446744099480343818 | |
| CrocusDrop | 2, 4, 20, 292, 66356, 4295231044, 18446744095185046100 | |
| HalfCrocus | A246418 | 1, 3, 13, 159, 33337, 2147648859, 9223372049740171909 |
| HalfCrocusDrop | 1, 2, 10, 146, 33178, 2147615522, 9223372047592523050 | |
| Dandelion | 1, 3, 30, 4080, 134215680, 288230376084602880 | |
| DandelionDrop | 1, 2, 27, 4050, 134211600, 288230375950387200 | |
| factors in DandelionDrop | 1, 2, 9, 270, 526320, 4398113617920 | |
| Grass | A001146 | 2, 4, 16, 256, 65536, 4294967296, 18446744073709551616 |
| GrassDrop | ~A111403 | 2, 2, 12, 240, 65280, 4294901760, 18446744069414584320 |
| HalfGrass | A058891 | 1, 2, 8, 128, 32768, 2147483648, 9223372036854775808 |
| HalfGrassDrop | 1, 1, 6, 120, 32640, 2147450880, 9223372034707292160 | |
| SmallGrass | A051179 | 1, 3, 15, 255, 65535, 4294967295, 18446744073709551615 |
| SmallGrassDrop | ~A111403 | 1, 2, 12, 240, 65280, 4294901760, 18446744069414584320 |
| Hyacinth | 0, 2, 10, 62, 1138, 330422, 25770792202, 129127208606163477614 | |
| HyacinthDrop | 0, 2, 8, 52, 1076, 329284, 25770461780, 129127208580392685412 | |
| HalfHyacinth | A059301 | 0, 1, 5, 31, 569, 165211, 12885396101, 64563604303081738807 |
| HalfHyacinthDrop | 0, 2, 4, 26, 538, 164642, 12885230890, 64563604290196342706 | |
| ExAloe | 2, 2, 8, 184, 62464, 4293001088, 18446743803209556992 | |
| ExAloeDrop | 2, 0, 6, 176, 62280, 4292938624, 18446743798916555904 | |
| SmallExAloe | A305737 | 1, 2, 8, 184, 62464, 4293001088, 18446743803209556992 |
| SmallExAloeDrop | 1, 1, 6, 176, 62280, 4292938624, 18446743798916555904 | |
| Lotus | A000371 | 2, 2, 10, 218, 64594, 4294642034, 18446744047940725978 |
| LotusDrop | 2, 0, 8, 208, 64376, 4294577440, 18446744043646083944 | |
| HalfLotus | A003465 | 1, 1, 5, 109, 32297, 2147321017, 9223372023970362989 |
| HalfLotusDrop | 1, 0, 4, 104, 32188, 2147288720, 9223372021823041972 | |
| SmallLotus | 1, 2, 10, 218, 64594, 4294642034, 18446744047940725978 | |
| SmallLotusDrop | 1, 1, 8, 208, 64376, 4294577440, 18446744043646083944 | |
| NonDubSage | A001320 | 0, 1, 3, 14, 240, 63488, 4227858432, 18302628885633695744 |
| NonDubSageDrop | 0, 1, 2, 11, 226, 63248, 4227794944, 18302628881405837312 | |
| NonLotus | A005530 | 0, 2, 6, 38, 942, 325262, 25768825638, 129127208425774833206 |
| NonLotusDrop | 0, 2, 4, 32, 904, 324320, 25768500376, 129127208400006007568 | |
| HalfNonLotus | A051381 | 0, 1, 3, 19, 471, 162631, 12884412819, 64563604212887416603 |
| HalfNonLotusDrop | 0, 1, 2, 16, 452, 162160, 12884250188, 64563604200003003784 | |
| SmallNonLotus | 0, 1, 5, 37, 941, 325261, 25768825637, 129127208425774833205 | |
| SmallNonLotusDrop | 0, 1, 4, 32, 904, 324320, 25768500376, 129127208400006007568 | |
| NonExAloe | 0, 2, 8, 72, 3072, 1966208, 270499994624, 2342736474457787596800 | |
| NonExAloeDrop | 0, 2, 6, 64, 3000, 1963136, 270498028416, 2342736474187287602176 | |
| HalfNonExAloe | 0, 1, 4, 36, 1536, 983104, 135249997312, 1171368237228893798400 | |
| HalfNonExAloeDrop | 0, 1, 3, 32, 1500, 981568, 135249014208, 1171368237093643801088 | |
| SmallNonExAloe | A218384 | 0, 1, 7, 71, 3071, 1966207, 270499994623, 2342736474457787596799 |
| SmallNonExAloeDrop | 0, 1, 6, 64, 3000, 1963136, 270498028416, 2342736474187287602176 | |
| Primula | A246537 | 1, 1, 3, 97, 32199, 2147318437, 9223372023969379707 |
| PrimulaDrop | 1, 0, 2, 94, 32102, 2147286238, 9223372021822061270 | |
| Eulerian numbers | A000295 | 0, 0, 1, 4, 11, 26, 57, 120, 247, 502, 1013, 2036 |
| DubSage | 2, 2, 4, 32, 4096, 134217728, 288230376151711744 | |
| DubSageDrop | 2, 0, 2, 28, 4064, 134213632, 288230376017494016 | |
| Sage | ~A016031 | 1, 1, 2, 16, 2048, 67108864, 144115188075855872 |
| SageDrop | 1, 0, 1, 14, 2032, 67106816, 144115188008747008 | |
| TornSage | ~A076688 | 1, 1, 8, 1024, 33554432, 72057594037927936 |
| TornSageDrop | 1, 0, 7, 1016, 33553408, 72057594004373504 | |
| Thyme | A000231 | 2, 3, 7, 46, 4336, 134281216, 288230380379570176 |
| ThymeDrop | 2, 1, 4, 39, 4290, 134276880, 288230380245288960 | |
| Violet | 1, 0, 2, 90, 31826, 2147158386, 9223372011085950170 | |
| half Violet for positive keys | A007537 | 0, 1, 45, 15913, 1073579193, 4611686005542975085 |
| Pansy | A342286 | 2, 0, 2, 8, 210, 64384, 4294577650, 18446744043646148328 |
| Peony | A342287 | 0, 2, 0, 10, 208, 64386, 4294577648, 18446744043646148330 |
| HalfPansy | 1, 0, 1, 4, 105, 32192, 2147288825, 9223372021823074164 | |
| HalfPeony | 0, 1, 0, 5, 104, 32193, 2147288824, 9223372021823074165 | |
| Chrysanthemum | A006125 | 1, 1, 2, 8, 64, 1024, 32768, 2097152 |
| Ranunculus | A028361 | 1, 2, 6, 30, 270, 4590, 151470, 9845550 |
| RanunculusDrop | A126391 | 1, 1, 4, 24, 240, 4320, 146880, 9694080 |
| TornRanunculus | A028362 | 1, 1, 3, 15, 135, 2295, 75735, 4922775 |
| TornRanunculusDrop | A028362 | 1, 0, 2, 12, 120, 2160, 73440, 4847040 |
| torn TornRanunculusDrop | A353196 | 1, 6, 60, 1080, 36720, 2423520 |
| row sums of Bramble | 2, 6, 32, 440, 71104, 4297108096 | |
| half row sums of Bramble | 1, 3, 16, 220, 35552, 2148554048 | |
| row sums of SmallBramble | 1, 4, 26, 410, 70834, 4297112728, 18446744344381514834 | |
| torn row sums of SmallBramble | 2, 13, 205, 35417, 2148556364, 9223372172190757417 | |
| Mimosa | A003462 | 0, 1, 4, 13, 40, 121, 364, 1093, 3280 |
| BigMimosa | A007051 | 1, 2, 5, 14, 41, 122, 365, 1094, 3281 |
| LongFern | 0, 1, 3, 9, 27, 81, 243, 729, 2187 | |
| Fern | A000244 | 1, 3, 9, 27, 81, 243, 729, 2187, 6561 |
| FernDrop | A025192 | 1, 2, 6, 18, 54, 162, 486, 1458, 4374 |
| Saffron | 0, 1, 3, 14, 870, 18796230 | |
| SaffronDrop | 0, 1, 2, 11, 856, 18795360 | |
| Agave | 0, 1, 0, 7, 750, 18771864 | |
| ExAgave | 0, 2, 0, 56, 12000, 600699648 | |
| NonAgave | 2, 0, 2, 16, 3154, 115384420 | |
| Dedekind | A000372 | 2, 3, 6, 20, 168, 7581, 7828354 |
| DedekindDrop | 2, 1, 3, 14, 148, 7413, 7820773 | |
| Goldenrod | A003182 | 2, 3, 5, 10, 30, 210, 16353 |
| GoldenrodDrop | A006602 | 2, 1, 2, 5, 20, 180, 16143 |
| DubAnise | A003180 | 2, 4, 12, 80, 3984, 37333248 |
| DubAniseDrop | A003181 | 2, 2, 8, 68, 3904, 37329264 |
| Anise | A000612 | 1, 2, 6, 40, 1992, 18666624 |
| AniseDrop | A055621 | 1, 1, 4, 34, 1952, 18664632 |
| TornAnise | ~A002857 | 1, 1, 3, 20, 996, 9333312 |
| TornAniseDrop | 1, 0, 2, 17, 976, 9332316 | |
| row sums of EmeraldSlab | 1, 2, 5, 23, 1027, 19127963 | |
| Lily | 2, 1, 3, 32, 4184, 134259939 | |
| Sesame | ~A037293 | 0, 2, 6, 70, 12870, 601080390 |
| SesameDrop | 0, 2, 4, 64, 12800, 601067520 | |
| Chamomile | 0, 1, 1, 8, 828, 18791995 | |
| Calendula | A378302 | 0, 2, 2, 58, 12618, 601016690 |
| row sums of Oleander | 0, 2, 10, 94, 13194, 601145510 | |
| row sums of OleanderDrop | 0, 2, 8, 84, 13100, 601132316 | |
| row sums of Olearia | 0, 1, 5, 26, 948, 18800755 | |
| row sums of OleariaDrop | 0, 1, 4, 21, 922, 18799807 |
| name | OEIS | row 5 | row sums | |
|---|---|---|---|---|
| Cedar | 2, 20, 160, 2560, 327680, 4294967296 | Crocus | ||
| CedarDrop | 0, 4, 64, 1536, 262144, 4294967296 | CrocusDrop | ||
| HalfCedar | 1, 10, 80, 1280, 163840, 2147483648 | HalfCrocus | ||
| HalfCedarDrop | 0, 2, 32, 768, 131072, 2147483648 | HalfCrocusDrop | ||
| SignedCedar | Lotus | |||
| HalfSignedCedar | HalfLotus | |||
| Bramble | 2048, 7936, 19840, 79360, 2031616, 4294967296 | |||
| SignedBramble | ExAloe | |||
| SmallBramble | 1024, 5952, 18600, 79050, 2031585, 4294967295 | |||
| SignedSmallBramble | SmallExAloe | |||
| Forsythia | 1, 62, 3565, 605120, 4158844804, 288230371925149328 | Dandelion | ||
| ForsythiaDrop | 0, 32, 2760, 546560, 4024688520, 288230371925149328 | DandelionDrop | ||
| Hickory | 0, 10, 60, 380, 4710, 325262 | Hyacinth | ||
| HickoryDrop | 0, 2, 24, 228, 3768, 325262 | HyacinthDrop | ||
| Olive | A227725 | 2, 31, 310, 3565, 121024, 134156284 | Thyme | |
| OliveDrop | 0, 16, 240, 3220, 117120, 134156284 | ThymeDrop | ||
| ExOlive | 2, 62, 1240, 28520, 1936384, 4293001088 | Grass | ||
| ExOliveDrop | 0, 32, 960, 25760, 1873920, 4293001088 | GrassDrop | ||
| TurnedExOlive | 4293001088, 1936384, 28520, 1240, 62, 2 | Grass | ||
| TurnedExOliveDrop | 4292938624, 1933624, 28240, 1210, 60, 2 | GrassDrop | ||
| SmallTurnedExOlive | 4293001088, 1936384, 28520, 1240, 62, 1 | SmallGrass | ||
| SmallTurnedExOliveDrop | 4292938624, 1933624, 28240, 1210, 60, 1 | SmallGrassDrop | ||
| Rhododendron | 1, 31, 310, 1240, 1984, 1024 | Ranunculus | ||
| RhododendronDrop | 0, 16, 240, 1120, 1920, 1024 | RanunculusDrop | ||
| TurnedRhododendron | 1024, 1984, 1240, 310, 31, 1 | Ranunculus | ||
| TurnedRhododendronDrop | 960, 1864, 1170, 295, 30, 1 | RanunculusDrop | ||
| SignedRhododendron | ||||
| Robinia | 1, 0, 20, 900, 159130, 2147158386 | Primula | ||
| RobiniaDrop | 0, 0, 8, 540, 127304, 2147158386 | PrimulaDrop | ||
| Willow | 2, 10, 100, 2180, 322970, 4294642034 | Grass | ||
| WillowDrop | 0, 2, 40, 1308, 258376, 4294642034 | GrassDrop | ||
| HalfWillow | 1, 5, 50, 1090, 161485, 2147321017 | HalfGrass | ||
| HalfWillowDrop | 0, 1, 20, 654, 129188, 2147321017 | HalfGrassDrop | ||
| TurnedWillow | 4294642034, 322970, 2180, 100, 10, 2 | Grass | ||
| TurnedWillowDrop | 4294577440, 322098, 2120, 92, 8, 2 | GrassDrop | ||
| SmallTurnedWillow | 4294642034, 322970, 2180, 100, 10, 1 | SmallGrass | ||
| SmallTurnedWillowDrop | 4294577440, 322098, 2120, 92, 8, 1 | SmallGrassDrop | ||
| Chestnut | 2, 0, 20, 80, 1050, 64384 | ~Grass | ||
| ChestnutDrop | 0, 0, 8, 48, 840, 64384 | ~GrassDrop | ||
| Chinkapin | 0, 10, 0, 100, 1040, 64386 | ~Grass | ||
| ChinkapinDrop | 0, 2, 0, 60, 832, 64386 | ~GrassDrop | ||
| half Chestnut | 1, 0, 10, 40, 525, 32192 | ~HalfGrass | ||
| half ChestnutDrop | 0, 0, 4, 24, 420, 32192 | ~HalfGrassDrop | ||
| half Chinkapin | 0, 5, 0, 50, 520, 32193 | ~HalfGrass | ||
| half ChinkapinDrop | 0, 1, 0, 30, 416, 32193 | ~HalfGrassDrop | ||
| ExPascal | A013609 | 1, 10, 40, 80, 80, 32 | Fern | |
| ExPascalDrop | ~A370469 | 0, 2, 16, 48, 64, 32 | FernDrop | |
| TurnedExPascal | A038207 | 32, 80, 80, 40, 10, 1 | Fern | |
| TurnedExPascalDrop | A200139 | 16, 48, 56, 32, 9 1 | FernDrop | |
| Laurel | A227724 | 0, 31, 0, 1085, 23250, 18771864 | Saffron | |
| LaurelDrop | 0, 16, 0, 980, 22500, 18771864 | SaffronDrop | ||
| ExLaurel | 0, 62, 0, 8680, 372000, 600699648 | Sesame | ||
| ExLaurelDrop | 0, 32, 0, 7840, 360000, 600699648 | SesameDrop | ||
| A211344 | 65535, 16711935, 252645135, 858993459, 1431655765 | |||
| EmeraldSlab | 1, 18796230, 330460, 1240, 31, 1 | |||
| Lemon | 0, 1, 80, 2070, 101504, 134156284 | Lily | ||
| ExLemon | 0, 2, 320, 16560, 1624064, 4293001088 | Lotus | ||
| Orange | 0, 1, 0, 630, 19500, 18771864 | Chamomile | ||
| ExOrange | 0, 2, 0, 5040, 312000, 600699648 | Calendula | ||
| Oleander | 0, 10, 60, 700, 64350, 601080390 | |||
| OleanderDrop | 0, 2, 24, 420, 51480, 601080390 | |||
| SignedOleander | Calendula | |||
| Olearia | 0, 5, 30, 140, 4350, 18796230 | |||
| OleariaDrop | 0, 1, 12, 84, 3480, 18796230 | |||
| SignedOlearia | Chamomile |
Seals
| house sizes | houses | rooms | seals | blocks | |||
|---|---|---|---|---|---|---|---|
| smallest | GCD | ||||||
| sequences | a | Valerian ValerianDrop |
Nepeta NepetaDrop |
Clover Heather |
Calluna MaimedClover |
Daisy Dahlia |
ShortDahlia ShortDahliaDrop |
| triangles | a, d | Juniper JuniperDrop |
Thuja ThujaDrop |
Elm Lime |
Yew MaimedElm |
Oak OakDrop |
ExOak ExOakDrop |
| a, v | Sloe SloeDrop |
StackedHeather DiagonalHeather |
Rowan MaimedStackedHeather |
Ash Aspen |
|||
| a, g | TurnedSloe TurnedSloeDrop |
SlopedHeather SlopedLavender |
Elder MaimedSlopedHeather |
TwistedAsh Alder |
|||
| pyramids | a, d, v | StackedLime DiagonalLime |
Liana Ivy |
||||
| a, d, g | SlopedLime SlopedMagnolia |
TwistedLiana Lonicera |
|||||
| hyper- pyramids |
a, d, v, g | Syringa SyringaDrop |
Buddleja BuddlejaDrop |
Wisteria WisteriaDrop |
Petrea MaimedWisteria |
Jacaranda JacarandaDrop |
|
- Triangle Magnolia appears in hyperpyramid Wisteria, but does not seem to count anything on its own. Its row sums are Lavender.
- Triangle Birch is the number of seals by a=v and d. Its row sums are Aster.
- Triangles TwistedBirch/TwistedBirchDrop are the number of seals with g=0 by a and d. Their row sums are Aster/AsterDrop.
| a | 🌊 arity 💧 adicity |
|---|---|
| d | depth |
| v | valency |
| g | gravity |
Arity n is short for adicity ≤ n.
Sequences, triangles and pyramids using arity are marked with a wave 🌊, those using adicity are marked with a drop 💧.
🌊 entries are sums of 💧 columns.
| name | OEIS | entries |
|---|---|---|
| Rose | A190939 | 1, 3, 5, 9, 15, 17, 33, 51, 65, 85, 105, 129, 153, 165, 195, 255 |
| Tulip | 1, 3, 5, 7, 15, 17, 19, 21, 23, 51, 63, 85, 95, 119, 127, 255 | |
| Aster | A135922 | 1, 1, 2, 6, 26, 158, 1330, 15414 |
| AsterDrop | 1, 0, 1, 4, 20, 132, 1172, 14084 | |
| Daisy | A006116 | 1, 2, 5, 16, 67, 374, 2825, 29212 |
| Dahlia | ~A182176 | 1, 1, 3, 11, 51, 307, 2451, 26387 |
| Clover | A076766 | 1, 2, 4, 8, 16, 32, 68, 148 |
| Heather | ~A034343 | 1, 1, 2, 4, 8, 16, 36, 80 |
| Lavender | 1, 0, 1, 2, 4, 8, 20, 44 | |
| ShortDahlia | A182176 | 1, 3, 11, 51, 307, 2451, 26387, 387987 |
| ShortDahliaDrop | 1, 2, 8, 40, 256, 2144, 23936, 361600 | |
| Valerian | 1, 2, 5, 16, 61, 264, 1225, 5790 | |
| ValerianDrop | 1, 1, 3, 11, 45, 203, 961, 4565 | |
| Calluna | 1, 2, 5, 12, 27, 58, 125, 272 | |
| MaimedClover | 1, 1, 3, 7, 15, 31, 67, 147 | |
| Nepeta | 1, 2, 5, 16, 61, 254, 1085, 4592 | |
| NepetaDrop | 1, 1, 3, 11, 45, 193, 831, 3507 | |
| Salvia | 1, 2, 4, 8, 17, 42, 204, 2064 | |
| Gardenia | 1, 0, 1, 2, 5, 22, 37, 104 | |
| Gladiolus | 1, 0, 1, 2, 5, 12, 17, 26 | |
| Ginger | 1, 0, 1, 2, 5, 16, 137, 1698 | |
| Geranium | A323842 | 1, 0, 1, 2, 11, 72, 677, 8686 |
| Ambrosia | 1, 1, 2, 6, 20, 78, 300, 1092 | |
| AmbrosiaDrop | 1, 0, 1, 4, 14, 58, 222, 792 | |
| Akanthus | 1, 1, 2, 6, 20, 68, 220, 664 | |
| AkanthusDrop | 1, 0, 1, 4, 14, 48, 152, 444 | |
| Aconite | 1, 1, 2, 4, 9, 25, 162, 1860 |
| name | OEIS | row 5 | row sums | |
|---|---|---|---|---|
| Birch | ~A139382 | 0, 1, 40, 90, 26, 1 | Aster | |
| symmetric | Oak | A022166 | 1, 31, 155, 155, 31, 1 | Daisy |
| OakDrop | ~A289537 | 0, 16, 120, 140, 30, 1 | Dahlia | |
| Ash | 1, 5, 20, 60, 130, 158 | Daisy | ||
| Aspen | 0, 1, 8, 36, 104, 158 | Dahlia | ||
| TwistedAsh | 158, 130, 60, 20, 5, 1 | Daisy | ||
| Alder | 132, 106, 48, 16, 4, 1 | Dahlia | ||
| symmetric | Elm | A076831 | 1, 5, 10, 10, 5, 1 | Clover |
| Lime | ~A034253 | 0, 1, 4, 6, 4, 1 | Heather | |
| ~A076832 | 0, 1, 5, 11, 15, 16 | |||
| ExOak | ~A289537 | 1, 62, 620, 1240, 496, 32 | ShortDahlia | |
| ~symmetric | ExOakDrop | 0, 32, 480, 1120, 480, 32 | ShortDahliaDrop | |
| TwistedBirch | ~A139382 | 1, 26, 90, 40, 1, 0 | Aster | |
| TwistedBirchDrop | 0, 15, 77, 39, 1, 0 | AsterDrop | ||
| Yew | 1, 15, 20, 15, 6, 1 | Calluna | ||
| MaimedElm | 0, 5, 10, 10, 5, 1 | MaimedClover | ||
| Elder | 27, 16, 8, 4, 2, 1 | Calluna | ||
| MaimedSlopedHeather | 15, 8, 4, 2, 1, 1 | MaimedClover | ||
| symmetric | Juniper | 1, 31, 100, 100, 31, 1 | Valerian | |
| JuniperDrop | 0, 16, 71, 85, 30, 1 | ValerianDrop | ||
| TurnedLime | ~A034253 | 1, 4, 6, 4, 1, 0 | Heather | |
| symmetric | Magnolia | 0, 1, 3, 3, 1, 0 | Lavender | |
| Rowan | 1, 5, 8, 12, 16, 16 | Calluna | ||
| MaimedStackedHeather | 0, 1, 2, 4, 8, 16 | MaimedClover | ||
| Sloe | 1, 5, 20, 60, 100, 78 | Valerian | ||
| SloeDrop | 0, 1, 8, 36, 80, 78 | ValerianDrop | ||
| TurnedSloe | 78, 100, 60, 20, 5, 1 | Valerian | ||
| TurnedSloeDrop | 58, 76, 48, 16, 4, 1 | ValerianDrop | ||
| StackedHeather | 1, 1, 2, 4, 8, 16 | Clover | ||
| DiagonalHeather | 0, 0, 0, 0, 0, 16 | Heather | ||
| SlopedHeather | 16, 8, 4, 2, 1, 1 | Clover | ||
| SlopedLavender | 8, 4, 2, 1, 0, 1 | Heather | ||
| Fir | 1, 0, 10, 20, 25, 22 | Ambrosia | ||
| FirDrop | 0, 0, 4, 12, 20, 22 | AmbrosiaDrop | ||
| TurnedFir | 22, 25, 20, 10, 0, 1 | Ambrosia | ||
| Spruce | 1, 0, 10, 20, 25, 12 | Akanthus | ||
| SpruceDrop | 0, 0, 4, 12, 20, 12 | AkanthusDrop | ||
| TurnedSpruce | 12, 25, 20, 10, 0, 1 | Akanthus | ||
| SlopedGinger | 16, 5, 2, 1, 0, 1 | Aconite | ||
| Pine | 1, 0, 10, 20, 55, 72 | Aster | ||
| PineDrop | 0, 0, 4, 12, 44, 72 | AsterDrop | ||
| TurnedPine | 72, 55, 20, 10, 0, 1 | Aster | ||
| Hawthorn | 0, 1, 15, 35, 26, 1 | Ambrosia | ||
| Buckthorn | 0, 1, 10, 30, 26, 1 | Akanthus | ||
| Holly | 0, 1, 8, 11, 4, 1 | Aconite | ||
| symmetric | Thuja | 1, 31, 95, 95, 31, 1 | Nepeta | |
| ThujaDrop | 0, 16, 66, 80, 30, 1 | NepetaDrop | ||
| symmetric | Buxus | 1, 5, 15, 15, 5, 1 | Salvia |