cp's OEIS Frontend

A223327 Rolling cube footprints: number of n X n 0..7 arrays starting with 0 where 0..7 label vertices of a cube and every array movement to a horizontal or antidiagonal neighbor moves along a corresponding cube edge.

%I A223327 #8 Jul 23 2025 04:00:50
%S A223327 1,27,3969,3176523,13876429707,330815891296611,43041050285035823937,
%T A223327 30560274879452174084575347,118414345277803156878479453881947,
%U A223327 2503923842303442402830521022775619070739
%N A223327 Rolling cube footprints: number of n X n 0..7 arrays starting with 0 where 0..7 label vertices of a cube and every array movement to a horizontal or antidiagonal neighbor moves along a corresponding cube edge.
%C A223327 Diagonal of A223331
%H A223327 R. H. Hardin, <a href="/A223327/b223327.txt">Table of n, a(n) for n = 1..13</a>
%e A223327 Some solutions for n=3
%e A223327 ..0..1..3....0..1..5....0..4..5....0..1..0....0..1..5....0..1..0....0..2..3
%e A223327 ..0..2..6....5..1..5....0..4..5....5..4..6....5..4..0....0..1..5....3..1..3
%e A223327 ..6..4..5....3..7..3....6..4..5....0..2..6....6..4..6....0..1..5....0..1..3
%e A223327 Vertex neighbors:
%e A223327 0 -> 1 2 4
%e A223327 1 -> 0 3 5
%e A223327 2 -> 0 3 6
%e A223327 3 -> 1 2 7
%e A223327 4 -> 0 5 6
%e A223327 5 -> 1 4 7
%e A223327 6 -> 2 4 7
%e A223327 7 -> 3 5 6
%K A223327 nonn
%O A223327 1,2
%A A223327 _R. H. Hardin_ Mar 19 2013