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A268737 Number of nX5 binary arrays with some 1 horizontally or vertically adjacent to some other 1 exactly once. 1

%I #4 Feb 12 2016 08:44:14

%S 10,145,1788,19591,200204,1971414,18847982,176668038,1629738420,

%T 14851460143,133983018272,1198816726867,10652116047394,94092052069550,

%U 826903484125628,7234834159717064,63053215344757166,547626807437714177

%N Number of nX5 binary arrays with some 1 horizontally or vertically adjacent to some other 1 exactly once.

%C Column 5 of A268740.

%H R. H. Hardin, <a href="/A268737/b268737.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +56*a(n-2) -288*a(n-3) -1506*a(n-4) +870*a(n-5) +7568*a(n-6) -1632*a(n-7) -15481*a(n-8) +4624*a(n-9) +13495*a(n-10) -6192*a(n-11) -4336*a(n-12) +2890*a(n-13) +82*a(n-14) -288*a(n-15) +24*a(n-16) +8*a(n-17) -a(n-18)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A268740.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 12 2016

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Last modified July 28 20:51 EDT 2024. Contains 374726 sequences. (Running on oeis4.)