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Number of n X n 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
0

%I #6 Sep 16 2020 19:06:21

%S 1,2,38,325,37910,6446485,6323564388,18955122420980,214926958781186214

%N Number of n X n 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Diagonal of A303624.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303624.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 27 2018