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

%I #6 Sep 16 2020 18:56:44

%S 1,3,11,28,90,458,4558,82857,1748514,44378638,1537387012,96444437992,

%T 9693542232011,1237134041433890,196120841811367262,

%U 47516901892945494991,19045444458145286230306

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

%C Diagonal of A302515.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302515.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 09 2018