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A268889 Number of 4Xn binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once. 1

%I

%S 0,71,462,4133,27130,186732,1187838,7529253,46440962,283673207,

%T 1710265892,10226321520,60660804228,357586190291,2096177689750,

%U 12229766790505,71054027831574,411303965509420,2373090804832634

%N Number of 4Xn binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once.

%C Row 4 of A268886.

%H R. H. Hardin, <a href="/A268889/b268889.txt">Table of n, a(n) for n = 1..210</a>

%F 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)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A268886.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 15 2016

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Last modified September 18 17:56 EDT 2021. Contains 347532 sequences. (Running on oeis4.)