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A223264 Rolling cube footprints: number of n X n 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across a corresponding cube edge.

%I A223264 #8 Jul 23 2025 03:56:18
%S A223264 1,48,20992,63438848,1771674009600,389343801904201728,
%T A223264 761838097494483172065280,12136917084120610801062514786304,
%U A223264 1696402284763369899693403606733469777920
%N A223264 Rolling cube footprints: number of n X n 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across a corresponding cube edge.
%C A223264 Diagonal of A223269
%H A223264 R. H. Hardin, <a href="/A223264/b223264.txt">Table of n, a(n) for n = 1..14</a>
%e A223264 Some solutions for n=3
%e A223264 ..0..1..0....0..2..1....0..2..1....0..2..5....0..4..3....0..2..1....0..1..5
%e A223264 ..3..1..0....1..3..4....4..2..0....1..2..1....3..4..3....0..2..4....0..4..0
%e A223264 ..5..1..5....4..5..4....0..3..5....4..3..0....2..4..5....0..2..0....3..4..3
%e A223264 Face neighbors:
%e A223264 0 -> 1 2 3 4
%e A223264 1 -> 0 2 3 5
%e A223264 2 -> 0 1 4 5
%e A223264 3 -> 0 1 4 5
%e A223264 4 -> 0 3 2 5
%e A223264 5 -> 1 3 4 2
%K A223264 nonn
%O A223264 1,2
%A A223264 _R. H. Hardin_ Mar 19 2013