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

%I #6 Aug 20 2020 11:44:47

%S 1,3,5,83,2803,268802,62812639,39447933621,63780972381537,

%T 267328043698021585

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

%C Diagonal of A301498.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301498.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 22 2018