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Number of 7 X n 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #6 Dec 29 2023 10:46:36

%S 0,421,9091,15852,92603,1551340,16130212,82774516,506265517,

%T 5660323142,51739325680,335761691745,2418466197168,21927716125718,

%U 184725699865822,1350254421406010,10284927374810243,86141789798720948,701278900747323768

%N Number of 7 X n 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 7 of A302528.

%H R. H. Hardin, <a href="/A302533/b302533.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

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

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

%Y Cf. A302528.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 09 2018