cp's OEIS Frontend

A223354 Rolling cube footprints: number of n X 5 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 A223354 #9 Aug 19 2018 18:12:42
%S A223354 256,110592,48365568,21177040896,9273505480704,4060947412942848,
%T A223354 1778325505192230912,778744859776908263424,341019436981212766273536,
%U A223354 149335504495574154699866112,65395371895437880547981918208
%N A223354 Rolling cube footprints: number of n X 5 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 A223354 Column 5 of A223357.
%H A223354 R. H. Hardin, <a href="/A223354/b223354.txt">Table of n, a(n) for n = 1..210</a>
%F A223354 Empirical: a(n) = 480*a(n-1) - 18432*a(n-2).
%F A223354 Empirical g.f.: 256*x*(1 - 48*x) / (1 - 480*x + 18432*x^2). - _Colin Barker_, Aug 19 2018
%e A223354 Some solutions for n=3:
%e A223354   0 3 0 3 4      0 3 5 2 0      0 3 1 2 1      0 3 5 3 1
%e A223354   0 3 0 2 5      0 3 5 1 5      0 3 0 3 4      0 3 4 3 4
%e A223354   0 3 5 4 5      0 3 0 1 5      0 3 4 5 3      0 3 1 0 4
%Y A223354 Cf. A223357.
%K A223354 nonn
%O A223354 1,1
%A A223354 _R. H. Hardin_, Mar 19 2013