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

%I #6 Apr 26 2020 21:03:28

%S 2,8,71,1444,67488,7121315,1700240351,918770773688,1123781080551251,

%T 3111403698927107015,19501463789775958005296,

%U 276719237565795526825364758

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

%C Diagonal of A296635.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296635.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2017