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%I #6 Apr 26 2020 21:00:19
%S 1,6,36,597,21769,1740403,313843472,124433749976,109752217137032,
%T 214577693619739949,930506314275700114026,8950548080850337784771728
%N Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 or 3 neighboring 1's.
%C Diagonal of A296396.
%e Some solutions for n=5
%e ..0..0..1..0..0. .0..0..1..1..1. .0..0..1..0..0. .1..1..0..0..0
%e ..0..0..1..0..0. .1..0..0..1..1. .0..1..0..0..1. .0..0..0..0..1
%e ..1..1..1..1..0. .1..0..0..0..1. .0..0..0..1..0. .1..0..0..0..1
%e ..0..0..0..0..0. .0..0..0..0..0. .0..1..0..0..1. .1..0..0..0..0
%e ..0..0..0..1..1. .1..1..0..1..1. .0..1..0..1..0. .0..0..1..1..0
%Y Cf. A296396.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 11 2017