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Number of n X 6 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.
1

%I #6 Apr 05 2020 23:19:29

%S 12,540,31276,1729212,99685406,5826888288,345505561776,20683003285236,

%T 1247496214559062,75696417871360268,4615888774091221702,

%U 282636062954942366016,17366871309998173841404,1070340278818744008980972

%N Number of n X 6 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

%C Column 6 of A285750.

%H R. H. Hardin, <a href="/A285748/b285748.txt">Table of n, a(n) for n = 1..47</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A285750.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 25 2017