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Number of n X n 0..1 arrays with every element unequal to 0, 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero.
0

%I #6 Nov 06 2020 19:15:00

%S 1,4,12,81,1185,30826,1321695,98008416,12373093291,2656799749952,

%T 971390294075369,604435523445204922,640013417117018100841,

%U 1153330960736161428690488

%N Number of n X n 0..1 arrays with every element unequal to 0, 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero.

%C Diagonal of A305340.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305340.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 30 2018