cp's OEIS Frontend

A223199 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.

%I A223199 #6 Jul 23 2025 03:50:58
%S A223199 256,82944,27951104,9515827200,3249109204992,1110327429169152,
%T A223199 379529320596504576,129739120821684666368,44351234892702995709952,
%U A223199 15161534293466127643181056,5183001897895978479097217024
%N A223199 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 A223199 Column 5 of A223202
%H A223199 R. H. Hardin, <a href="/A223199/b223199.txt">Table of n, a(n) for n = 1..210</a>
%F A223199 Empirical: a(n) = 512*a(n-1) -66560*a(n-2) +3014656*a(n-3) -50331648*a(n-4) +268435456*a(n-5)
%e A223199 Some solutions for n=3
%e A223199 ..0..3..0..3..1....0..3..0..3..4....0..3..0..1..2....0..3..4..3..0
%e A223199 ..3..0..3..1..5....3..0..3..4..3....3..0..4..2..0....3..0..3..5..2
%e A223199 ..0..1..5..3..1....0..3..4..2..1....0..1..0..4..2....0..3..1..2..1
%e A223199 Face neighbors:
%e A223199 0,5 -> 1 2 3 4
%e A223199 1,4 -> 0 2 3 5
%e A223199 2,3 -> 0 1 4 5
%K A223199 nonn
%O A223199 1,1
%A A223199 _R. H. Hardin_ Mar 18 2013