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Number of n X n 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
0

%I #6 Jun 15 2020 13:59:53

%S 1,1,1,3,7,14,40,168,873,5632,63538,1026354,20200595,622554839,

%T 29122695476,1747360635695,149225079090933

%N Number of n X n 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Diagonal of A298917.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298917.

%K nonn

%O 1,4

%A _R. H. Hardin_, Jan 29 2018