The 16-Variable Hexagonal Pillar is a variant of the 2 D or 3 D Kube Projected into Hexagon, with one orthoginal dimension added to make it a pillar.

The summation is over a hexagonal vertical tiling that always has a center point

and here is the cominatoric expression for the 16-Variable Hexagonal Pillar:

No Excel proof yet complete

This interesting calculation produces results that form a hexagonal column. An algebraic function that, when expanded, produces coefficients of identical number, has now also been found.

The geometry is still n-based, starting here at N=1. It is viewable here up to N=5

161 = 16
162 = 256
163 = 4,096
165 = 65,536