Triangle Hickory

Studies of Boolean functions
sequences related to Boolean functions
gender
diagonal triangle total
♀ Violet Robinia Primula
♂ HalfGrass HalfCedar HalfCrocus
all Lotus Willow Grass
♂ − ♀ NonLotus Hickory Hyacinth
Pascal's triangle with multiplied columns

Hickory(Drop) = HalfCedar(Drop) − Robinia(Drop)

Triangles Hickory(Drop)

The diagonal of both triangles is NonLotus.

Pascal with columns multiplied by NonLotus

🌊    triangle Hickory    row sums Hyacinth (2·A059301)
k
n
012345sums
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 · 38 38 62
4 1 · 0 0 4 · 2 8 6 · 6 36 4 · 38 152 1 · 942 942 1138
5 1 · 0 0 5 · 2 10 10 · 6 60 10 · 38 380 5 · 942 4710 1 · 325262 325262 330422

PascalDrop with columns multiplied by NonLotus

💧    triangle HickoryDrop    row sums HyacinthDrop
k
n
012345sums
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 · 38 38 52
4   0 1 · 2 2 3 · 6 18 3 · 38 114 1 · 942 942 1076
5   0 1 · 2 2 4 · 6 24 6 · 38 228 4 · 942 3768 1 · 325262 325262 329284
(a, v) ↦ ♂−♀ Hickory(a, v)
HickoryDrop(a, v)		 is the number of surplus male BF with arity
adicity		 a and valency v.
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