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 A230611 Number of n X 5 0..2 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero. 1

%I

%S 0,8,260,7072,186396,4899200,128706852,3381000336,88814433756,

%T 2333033998864,61285601758916,1609888586400576,42289561773667932,

%U 1110888696290586976,29181520062175286564,766558446366309855152

%N Number of n X 5 0..2 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

%H R. H. Hardin, <a href="/A230611/b230611.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-1) - 126*a(n-2) + 42*a(n-3) + 79*a(n-4) - a(n-5) + 8*a(n-6) for n>7.

%F Empirical g.f.: 4*x^2*(2 + 3*x + 5*x^2 - 103*x^3 + 111*x^4 - 2*x^5) / (1 - 31*x + 126*x^2 - 42*x^3 - 79*x^4 + x^5 - 8*x^6). - _Colin Barker_, Sep 22 2018

%e Some solutions for n=4:

%e ..0..1..2..0..2....0..1..2..0..2....0..1..2..0..1....0..1..2..1..0

%e ..0..2..1..0..2....2..0..1..2..1....0..1..0..2..1....0..0..1..2..0

%e ..1..0..1..1..0....2..1..0..2..1....1..2..1..0..2....2..0..2..1..1

%e ..2..2..0..2..1....1..2..1..0..2....1..2..0..1..0....2..2..0..2..1

%Y Column 5 of A230614.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 25 2013

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Last modified November 29 10:31 EST 2022. Contains 358424 sequences. (Running on oeis4.)