Sequence Lily

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
0 1 2 3 4 5 6 7
2 1 3 32 4184 134259939 288230379573947089 2658455991569831762092630346357148922
a ↦ dense families Lily(a) is the number of dense families with arity a.
row sums of 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
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