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Number of nX7 0..1 arrays with every element unequal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jul 08 2018 16:26:09

%S 1,99,120,287,1446,5428,20777,86855,376999,1555947,6605299,28340559,

%T 120010547,511224042,2182626138,9302757001,39650537419,169186947163,

%U 721643828709,3077762454386,13129828013176,56010682628664

%N Number of nX7 0..1 arrays with every element unequal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 7 of A316620.

%H R. H. Hardin, <a href="/A316619/b316619.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316620.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 08 2018