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

%I #6 May 03 2020 15:37:45

%S 0,1,0,8,24,83,88,838,2234,15799,62938,432302,2162292,14402163,

%T 89993438,752458227,5948078028

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

%C Diagonal of A297814.

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297814.

%K nonn

%O 1,4

%A _R. H. Hardin_, Jan 06 2018