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Number of n X 6 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
1

%I #6 Mar 15 2023 15:20:53

%S 32,284,1280,11532,125218,1187727,11791971,128278641,1404259002,

%T 15247516145,168817867739,1879689241885,20866670090860,

%U 232659204227597,2597341941865292,28972230740635097,323551683655361446

%N Number of n X 6 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A316883.

%H R. H. Hardin, <a href="/A316881/b316881.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316883.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 15 2018