cp's OEIS Frontend

A223353 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 or antidiagonal neighbor moves across a corresponding cube edge.

%I A223353 #8 Jul 23 2025 04:02:31
%S A223353 1,64,36864,191102976,9273505480704,4204783428144463872,
%T A223353 17937911731045128424390656,720606995188478656413544250081280,
%U A223353 273159296445528717756285371297713115627520
%N A223353 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 or antidiagonal neighbor moves across a corresponding cube edge.
%C A223353 Diagonal of A223357
%H A223353 R. H. Hardin, <a href="/A223353/b223353.txt">Table of n, a(n) for n = 1..15</a>
%e A223353 Some solutions for n=3
%e A223353 ..0..3..1....0..4..2....0..2..1....0..1..5....0..1..2....0..3..1....0..1..5
%e A223353 ..0..3..0....2..5..1....1..2..4....5..4..5....3..1..2....1..0..3....0..4..3
%e A223353 ..1..2..4....3..5..1....0..2..0....2..1..5....3..5..4....1..5..4....3..0..1
%K A223353 nonn
%O A223353 1,2
%A A223353 _R. H. Hardin_ Mar 19 2013