Pyramid StackedLime

Studies of Boolean functions
sequences related to seals

By removing the dimension for depth, these pyramids can be flattened to triangles StackedHeather etc.

These pyramids count houses. The equivalents counting seals are pyramids Liana etc.

Pyramids StackedLime and DiagonalLime

StackedLime(a, d, v) = Lime(v, d), iff v ≤ a.
DiagonalLime(a, d, v) = Lime(v, d), iff v = a.

🌊    StackedLime
💧    DiagonalLime

Only positive coordinates are shown. The column with d = v = 0 is hidden. StackedLime(a, 0, 0) = 1. DiagonalLime(0, 0, 0) = 1.

(a, d, v) ↦ houses StackedLime(a, d, v)
DiagonalLime(a, d, v) 		is the number of houses of the seals with arity
adicity 		a, depth d and valency v.

Pyramids SlopedLime and SlopedMagnolia

SlopedLime(a, d, g) = Lime(a−g, a−d), iff g ≤ a.
SlopedMagnolia(a, d, g) = Magnolia(a−g, a−d), iff g ≤ a.

🌊    SlopedLime
💧    SlopedMagnolia
(a, d, g) ↦ houses SlopedLime(a, d, g)
SlopedMagnolia(a, d, g) 		is the number of houses of the seals with arity
adicity 		a, depth d and gravity g.
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