Triangle Lemon

Studies of Boolean functions
sequences related to Boolean functions
triangles by arity and strength
base
triangle 		diagonal families BF
triangle total triangle total
all Oak (Ex)Aloe Olive Thyme ExOlive Grass
balanced (Ex)Agave Laurel Saffron ExLaurel Sesame
dense Birch (Ex)Aloe Lemon Lily ExLemon Lotus
b & d (Ex)Agave Orange Chamomile ExOrange Calendula

Triangle Lemon

Birch with columns multiplied by Aloe

triangle Lemon    row sums Lily
k
n
 0 1 2 3 4 5 sums
0 1 · 2 2 2
1 0 · 2 0 1 · 1 1 1
2 0 · 2 0 1 · 1 1 1 · 2 2 3
3 0 · 2 0 1 · 1 1 4 · 2 8 1 · 23 23 32
4 0 · 2 0 1 · 1 1 13 · 2 26 11 · 23 253 1 · 3904 3904 4184
5 0 · 2 0 1 · 1 1 40 · 2 80 90 · 23 2070 26 · 3904 101504 1 · 134156284 134156284 134259939
(a, s) ↦ dense families Lemon(a, s) is the number of dense families with arity a and strength s.

Triangle ExLemon

Birch with columns multiplied by ExAloe

triangle ExLemon    row sums Lotus (A000371)
k
n
 0 1 2 3 4 5 sums
0 1 · 2 2 2
1 0 · 2 0 1 · 2 2 2
2 0 · 2 0 1 · 2 2 1 · 8 8 10
3 0 · 2 0 1 · 2 2 4 · 8 32 1 · 184 184 218
4 0 · 2 0 1 · 2 2 13 · 8 104 11 · 184 2024 1 · 62464 62464 64594
5 0 · 2 0 1 · 2 2 40 · 8 320 90 · 184 16560 26 · 62464 1624064 1 · 4293001088 4293001088 4294642034
(a, s) ↦ dense BF ExLemon(a, s) is the number of dense BF with arity a and strength s.
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