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A223360 Rolling cube footprints: number of 5Xn 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 A223360 #6 Jul 23 2025 04:02:52
%S A223360 1296,262144,84934656,27518828544,9273505480704,3147420753985536,
%T A223360 1073434373061083136,366633735578651197440,125301697729353543057408,
%U A223360 42831316037653820665233408,14641648774856138730026041344
%N A223360 Rolling cube footprints: number of 5Xn 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 A223360 Row 5 of A223357
%H A223360 R. H. Hardin, <a href="/A223360/b223360.txt">Table of n, a(n) for n = 1..210</a>
%F A223360 Empirical: a(n) = 512*a(n-1) -65536*a(n-2) +2490368*a(n-3) +17825792*a(n-4) -2818572288*a(n-5) +51539607552*a(n-6) -274877906944*a(n-7) for n>11
%e A223360 Some solutions for n=3
%e A223360 ..0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0
%e A223360 ..0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0
%e A223360 ..1..2..5....4..2..1....5..1..2....1..2..0....0..1..3....4..2..0....5..4..2
%e A223360 ..1..2..1....0..2..1....2..0..4....5..4..3....0..1..2....1..2..5....5..4..2
%e A223360 ..4..2..5....0..2..1....4..2..1....3..5..4....5..1..3....0..3..1....0..4..2
%K A223360 nonn
%O A223360 1,1
%A A223360 _R. H. Hardin_ Mar 19 2013