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

%I #6 Aug 20 2020 11:35:37

%S 1,3,6,42,615,16629,1056816,125507384,31211394832,15348688086725

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

%C Diagonal of A300605.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300605.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 09 2018