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%I #6 Dec 18 2015 18:18:29
%S 1,48,20992,63438848,1771674009600,389343801904201728,
%T 761838097494483172065280,12136917084120610801062514786304,
%U 1696402284763369899693403606733469777920
%N 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 Diagonal of A223269
%H R. H. Hardin, <a href="/A223264/b223264.txt">Table of n, a(n) for n = 1..14</a>
%e Some solutions for n=3
%e ..0..1..0....0..2..1....0..2..1....0..2..5....0..4..3....0..2..1....0..1..5
%e ..3..1..0....1..3..4....4..2..0....1..2..1....3..4..3....0..2..4....0..4..0
%e ..5..1..5....4..5..4....0..3..5....4..3..0....2..4..5....0..2..0....3..4..3
%e Face neighbors:
%e 0 -> 1 2 3 4
%e 1 -> 0 2 3 5
%e 2 -> 0 1 4 5
%e 3 -> 0 1 4 5
%e 4 -> 0 3 2 5
%e 5 -> 1 3 4 2
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 19 2013