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Number of n X n 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 4 1's.
0

%I #6 Apr 26 2020 20:48:09

%S 1,2,8,42,438,8241,279663,17574795,2023191364,425872679440,

%T 164093026377725,115549694765467808,148496731427890025827

%N Number of n X n 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 4 1's.

%C Diagonal of A295205.

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A295205.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 16 2017