"Magic NKZ" FORMULAS
WITHIN THE EULER/PASCAL CUBE:
Two Variables at a Time
(in formats from the Mathematica program, from Wolfram Research, Inc.)
"MagicNKZ":
<<DiscreteMath`Combinatorica`
The "three dimensional" formula for the (k+1)th value in the power level n within the Euler/Pascal Cube.
Table[ MagicNKZ, {k,0,6},{n,n,n},{z,z,z}]//TableForm
Table[ MagicNKZ, {n,1,4},{z,z,z},{k,k,k}]//TableForm
FullSimplify[ MagicNKZ, {n,1,4},{z,z,z},{k,k,k}]
Table[ MagicNKZ, {z,0,5},{n,n,n},{k,k,k}]//TableForm
