A223199 - OEIS

%I #4 Mar 18 2013 06:14:32

%S 256,82944,27951104,9515827200,3249109204992,1110327429169152,

%T 379529320596504576,129739120821684666368,44351234892702995709952,

%U 15161534293466127643181056,5183001897895978479097217024

%N Rolling cube footprints: number of nX5 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal or vertical neighbor moves across a corresponding cube edge

%C Column 5 of A223202

%H R. H. Hardin, <a href="/A223199/b223199.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 512*a(n-1) -66560*a(n-2) +3014656*a(n-3) -50331648*a(n-4) +268435456*a(n-5)

%e Some solutions for n=3

%e ..0..3..0..3..1....0..3..0..3..4....0..3..0..1..2....0..3..4..3..0

%e ..3..0..3..1..5....3..0..3..4..3....3..0..4..2..0....3..0..3..5..2

%e ..0..1..5..3..1....0..3..4..2..1....0..1..0..4..2....0..3..1..2..1

%e Face neighbors:

%e 0,5 -> 1 2 3 4

%e 1,4 -> 0 2 3 5

%e 2,3 -> 0 1 4 5

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 18 2013