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Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 11 2018 08:39:25

%S 1,10,11,28,80,245,729,2604,8579,27943,95535,322511,1083870,3675083,

%T 12455625,42129388,142706185,483725646,1638434358,5551260311,

%U 18812259092,63741708473,215983981369,731885089125,2480017406380,8403581958869

%N Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A300682.

%H R. H. Hardin, <a href="/A300678/b300678.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A300678/a300678.txt">Empirical recurrence of order 82</a>

%F Empirical recurrence of order 82 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300682.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 11 2018