cp's OEIS Frontend

A223265 Rolling cube footprints: number of n X 4 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across a corresponding cube edge.

%I A223265 #7 Aug 18 2018 08:43:04
%S A223265 64,6144,622592,63438848,6467616768,659411697664,67231270567936,
%T A223265 6854664725200896,698877628160933888,71255117675418877952,
%U A223265 7264922488410118029312,740706078202304288260096
%N A223265 Rolling cube footprints: number of n X 4 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across a corresponding cube edge.
%C A223265 Column 4 of A223269.
%H A223265 R. H. Hardin, <a href="/A223265/b223265.txt">Table of n, a(n) for n = 1..210</a>
%F A223265 Empirical: a(n) = 112*a(n-1) - 1024*a(n-2).
%F A223265 Empirical g.f.: 64*x*(1 - 16*x) / (1 - 112*x + 1024*x^2). - _Colin Barker_, Aug 18 2018
%e A223265 Some solutions for n=3:
%e A223265 ..0..3..5..1....0..4..2..0....0..3..0..1....0..3..5..2....0..3..4..3
%e A223265 ..0..3..5..2....0..4..2..0....0..1..0..3....0..2..0..3....0..2..0..2
%e A223265 ..0..2..1..2....0..4..3..4....0..1..0..4....0..3..5..3....1..2..1..2
%e A223265 Face neighbors:
%e A223265 0.->.1.2.3.4
%e A223265 1.->.0.2.3.5
%e A223265 2.->.0.1.4.5
%e A223265 3.->.0.1.4.5
%e A223265 4.->.0.3.2.5
%e A223265 5.->.1.3.4.2
%Y A223265 Cf. A223269.
%K A223265 nonn
%O A223265 1,1
%A A223265 _R. H. Hardin_, Mar 19 2013