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Number of n X n 0..1 arrays with every element equal to 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero.
0

%I #6 May 03 2020 15:44:54

%S 0,1,0,8,34,87,181,1380,4176,28357,122406,826418,4451708,30672159,

%T 202655696,1636350467

%N Number of n X n 0..1 arrays with every element equal to 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Diagonal of A298177.

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298177.

%K nonn

%O 1,4

%A _R. H. Hardin_, Jan 14 2018