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%I #6 May 03 2020 15:39:18
%S 1,7,20,36,114,253,433,734,1037,1882,2897,4474,4556,9490,7864,13478,
%T 31282,20470,123291,55794,102050,328168,112445
%N Number of n X n 0..1 arrays with every element equal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.
%C Diagonal of A297889.
%e Some solutions for n=7
%e ..0..1..0..1..1..0..1. .0..1..0..0..0..1..1. .0..0..1..0..1..1..0
%e ..0..0..1..1..1..1..1. .1..0..1..1..1..0..0. .1..1..1..0..0..0..1
%e ..1..1..0..0..0..0..0. .1..0..0..0..0..0..1. .0..1..0..1..0..1..0
%e ..0..1..1..1..1..1..1. .0..0..1..1..1..0..1. .0..1..0..1..0..1..0
%e ..0..1..0..0..0..0..0. .1..1..0..0..0..0..1. .0..1..0..1..0..1..0
%e ..1..0..1..1..1..1..1. .0..1..1..1..1..0..0. .1..1..1..0..0..0..1
%e ..0..1..0..1..1..0..1. .0..1..0..0..0..1..1. .0..0..1..0..1..1..0
%Y Cf. A297889.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 07 2018