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

%I #7 Apr 19 2020 23:53:35

%S 1,10,127,5389,684894,229596763,221204933878,598689439654822,

%T 4539934561727233074,96984131003613095035054,

%U 5821690240110920955236476834,982375769397408661603126936349101

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

%C Diagonal of A296386.

%H R. H. Hardin, <a href="/A296379/b296379.txt">Table of n, a(n) for n = 1..13</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296386.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 11 2017