Triangle Oleander

Studies of Boolean functions
sequences related to Boolean functions

Triangles Oleander(Drop)

The unsigned triangles are shown for the sake of completeness, and do not seem to be interesting.

Pascal with columns multiplied by Sesame

🌊    triangle Oleander
k
n
 0 1 2 3 4 5 sums
0 1 · 0 0 0
1 1 · 0 0 1 · 2 2 2
2 1 · 0 0 2 · 2 4 1 · 6 6 10
3 1 · 0 0 3 · 2 6 3 · 6 18 1 · 70 70 94
4 1 · 0 0 4 · 2 8 6 · 6 36 4 · 70 280 1 · 12870 12870 13194
5 1 · 0 0 5 · 2 10 10 · 6 60 10 · 70 700 5 · 12870 64350 1 · 601080390 601080390 601145510

PascalDrop with columns multiplied by Sesame

💧    triangle OleanderDrop
k
n
 0 1 2 3 4 5 sums
0 1 · 0 0 0
1   0 1 · 2 2 2
2   0 1 · 2 2 1 · 6 6 8
3   0 1 · 2 2 2 · 6 12 1 · 70 70 84
4   0 1 · 2 2 3 · 6 18 3 · 70 210 1 · 12870 12870 13100
5   0 1 · 2 2 4 · 6 24 6 · 70 420 4 · 12870 51480 1 · 601080390 601080390 601132316

Triangle SignedOleander

signed triangles
base
triangle 		families BF
diagonal triangle total diagonal triangle total
strong Turned
Rhodo. 		Thyme SignedBerberis Aloe Grass SignedBramble ExAloe
balanced & strong Saffron SignedArdisia Agave Sesame SignedAronia ExAgave
dense Pascal Thyme SignedCypress Lily Grass SignedCedar Lotus
balanced & dense Saffron SignedOlearia Chamomile Sesame SignedOleander Calendula

The absolute values are Pascal with columns multiplied by Sesame.

triangle SignedOleander    row sums Calendula
k
n
 0 1 2 3 4 5 sums
0 1 · 0 0 0
1 1 · 0 0 1 · 2 2 2
2 1 · 0 0 2 · 2 −4 1 · 6 6 2
3 1 · 0 0 3 · 2 6 3 · 6 −18 1 · 70 70 58
4 1 · 0 0 4 · 2 −8 6 · 6 36 4 · 70 −280 1 · 12870 12870 12618
5 1 · 0 0 5 · 2 10 10 · 6 −60 10 · 70 700 5 · 12870 −64350 1 · 601080390 601080390 601016690
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