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Number of n X 7 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #6 Jan 31 2022 21:45:30

%S 1,496,2525,33152,636070,13375327,266882021,5754725245,125608726910,

%T 2751441878716,60560951633302,1338653889825967,29617783009064771,

%U 655764759948936409,14528234528855832400,321957970196713225956

%N Number of n X 7 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A303084.

%H R. H. Hardin, <a href="/A303083/b303083.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303084.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 18 2018