Pyramid Liana

These pyramid pairs are refinements of the triangle pair ^{Template:Boolf-seq}/_{Template:Boolf-seq}.
In ^Liana/_Ivy the axis valency is added. In ^TwistedLiana/_Lonicera the axis gravity is added.

🌊   Liana and TwistedLiana are refinements of Template:Boolf-seq.   Their sums along axis depth are Template:Boolf-seq and Template:Boolf-seq.

💧   Ivy and Lonicera are refinements of Template:Boolf-seq.   Their sums along axis depth are Template:Boolf-seq and Template:Boolf-seq.

Liana and TwistedLiana are essentially the same pyramid:   $\text{Liana}(a,x,y)=\text{TwistedLiana}(a,a-x,a-y)$
So $\text{Liana}(a,x,y)$ is the cardinality of two sets of $a$-ary seals: Those with depth $x$ and valency $y$, and those with depth $a-x$ and gravity $a-y$.

Pyramids Liana and Ivy

Template:Multiple image Template:Clear Liana(a, d, v) is the number of seals with arity a, depth d and valency v.
Ivy(a, d, v) is the number of seals with adicity a, depth d and valency v.

Pyramids TwistedLiana and Lonicera

Template:Multiple image Template:Clear TwistedLiana(a, d, g) is the number of seals with arity a, depth d and gravity g.
Lonicera(a, d, g) is the number of seals with adicity a, depth d and gravity g.