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Number of n X n 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
0

%I #6 Aug 20 2020 11:45:13

%S 1,3,24,742,74479,26709523,31363814530,120807264770256,

%T 1517371393218125575,62110657600904496291408,

%U 8277571116888590675642278187

%N Number of n X n 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Diagonal of A301531.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301531.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 23 2018