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Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
1

%I #8 Apr 19 2020 23:58:04

%S 1,8,255,32321,16288960,32640586945,260070240849459,

%T 8239275981240122104,1037894641315598870418625,

%U 519856344665932729699372254283,1035331146709687346593709910443435692

%N Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Diagonal of A300182.

%H R. H. Hardin, <a href="/A300176/b300176.txt">Table of n, a(n) for n = 1..13</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300182.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 27 2018