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A268994 Number of nX7 binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once. 1

%I #4 Feb 17 2016 07:26:06

%S 72,2037,57287,1506570,38241770,946498448,22995344760,550731432312,

%T 13040291111728,305911647779632,7121104059933536,164688437285444064,

%U 3787495455529375808,86684333527271203264,1975573336154420926848

%N Number of nX7 binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.

%C Column 7 of A268995.

%H R. H. Hardin, <a href="/A268994/b268994.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 68*a(n-1) -1804*a(n-2) +24560*a(n-3) -195400*a(n-4) +974752*a(n-5) -3171360*a(n-6) +6871936*a(n-7) -9999248*a(n-8) +9740096*a(n-9) -6250176*a(n-10) +2552576*a(n-11) -621824*a(n-12) +79872*a(n-13) -4096*a(n-14) for n>16

%e Some solutions for n=3

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

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

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

%Y Cf. A268995.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2016

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Last modified April 17 21:01 EDT 2024. Contains 371767 sequences. (Running on oeis4.)