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

%I #6 May 03 2020 15:45:25

%S 0,1,1,3,5,10,19,41,81,196,474,1315,3871,15716,68291,339947,1851904,

%T 11717321,86766476

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

%C Diagonal of A298187.

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298187.

%K nonn

%O 1,4

%A _R. H. Hardin_, Jan 14 2018