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Number of n X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1's.
0

%I #6 May 03 2020 15:30:22

%S 2,8,92,1677,97005,8800153,2300975096,1078420953679,1299213136815377,

%T 3046735975885152987,17269379808592526211295,

%U 200109250657229443895686946

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

%C Diagonal of A297457.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297457.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2017