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R. H. Hardin, <a href="/A268889/b268889.txt">Table of n, a(n) for n = 1..210</a>
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Number of 4Xn binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once.
0, 71, 462, 4133, 27130, 186732, 1187838, 7529253, 46440962, 283673207, 1710265892, 10226321520, 60660804228, 357586190291, 2096177689750, 12229766790505, 71054027831574, 411303965509420, 2373090804832634
1,2
Row 4 of A268886.
Empirical: a(n) = 2*a(n-1) +39*a(n-2) +14*a(n-3) -482*a(n-4) -1102*a(n-5) -111*a(n-6) +1758*a(n-7) +982*a(n-8) -1114*a(n-9) -743*a(n-10) +394*a(n-11) +206*a(n-12) -90*a(n-13) -17*a(n-14) +10*a(n-15) -a(n-16)
Some solutions for n=4
..0..0..0..0. .1..0..1..0. .1..0..0..1. .1..0..0..0. .0..1..0..1
..0..0..1..0. .0..0..0..0. .1..0..1..0. .1..0..1..0. .1..0..0..1
..0..0..1..0. .1..0..1..0. .1..0..0..1. .0..1..0..0. .0..1..0..0
..0..1..0..1. .0..1..0..1. .0..1..0..0. .0..0..0..0. .0..0..0..0
Cf. A268886.
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R. H. Hardin, Feb 15 2016
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