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A208504 Number of 6 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically. 1

%I #9 Jul 03 2018 15:16:43

%S 19,361,456,1406,4104,12654,37430,114494,341012,1037552,3103650,

%T 9410776,28227958,85405038,256622854,775344932,2332325696,7040506202,

%U 21193626760,63940325966,192562547974,580744761326,1749471290612,5274981085968

%N Number of 6 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

%C Row 6 of A208501.

%H R. H. Hardin, <a href="/A208504/b208504.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) + 7*a(n-2) - 11*a(n-3) - 4*a(n-4) + 4*a(n-5) for n>7.

%F Empirical g.f.: 19*x*(1 + 17*x - 21*x^2 - 96*x^3 + 113*x^4 + 52*x^5 - 40*x^6) / (1 - 2*x - 7*x^2 + 11*x^3 + 4*x^4 - 4*x^5). - _Colin Barker_, Jul 03 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Cf. A208501.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 27 2012

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Last modified May 11 01:12 EDT 2024. Contains 372388 sequences. (Running on oeis4.)