cp's OEIS Frontend

A223358 Rolling cube footprints: number of 3 X n 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 A223358 #10 Aug 19 2018 18:13:10
%S A223358 36,1024,36864,1327104,48365568,1764753408,64399343616,2350085308416,
%T A223358 85760296353792,3129600934674432,114206719453691904,
%U A223358 4167679858509348864,152088734250301390848,5550086348122858979328,202536095940875781144576
%N A223358 Rolling cube footprints: number of 3 X n 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 A223358 Row 3 of A223357.
%H A223358 R. H. Hardin, <a href="/A223358/b223358.txt">Table of n, a(n) for n = 1..210</a>
%F A223358 Empirical: a(n) = 40*a(n-1) - 128*a(n-2) for n>4.
%F A223358 Empirical g.f.: 4*x*(9 - 104*x + 128*x^2 - 4096*x^3) / (1 - 40*x + 128*x^2). - _Colin Barker_, Aug 19 2018
%e A223358 Some solutions for n=3:
%e A223358   0 1 3    0 2 1    0 2 5    0 1 3    0 1 0    0 4 2    0 1 3
%e A223358   0 1 5    0 2 5    0 2 5    3 0 2    3 4 2    5 1 3    5 4 5
%e A223358   0 4 3    0 4 5    1 2 4    2 1 3    2 4 5    2 4 5    0 3 0
%Y A223358 Cf. A223357.
%K A223358 nonn
%O A223358 1,1
%A A223358 _R. H. Hardin_, Mar 19 2013