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Number of n X 7 0..1 arrays with every element unequal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 May 04 2024 11:47:22

%S 21,237,311,1666,8887,32359,135880,617692,2534229,10679366,46580215,

%T 196401620,830912246,3573030794,15182231394,64434941953,275517063290,

%U 1173301166480,4989227156149,21285269812669,90693224894008

%N Number of n X 7 0..1 arrays with every element unequal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 7 of A317429.

%H R. H. Hardin, <a href="/A317428/b317428.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317429.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 27 2018