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A208110 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically. 1

%I

%S 14,196,406,841,6235,46225,134160,389376,2189616,12313081,42602769,

%T 147403881,722705166,3543344676,13461507270,51141561025,233619318395,

%U 1067194368601,4261393225856,17016087003136,74907424036224

%N Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

%C Row 5 of A208108.

%H R. H. Hardin, <a href="/A208110/b208110.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) + 13*a(n-3) + 166*a(n-4) - 176*a(n-5) - 143*a(n-6) - 1452*a(n-8) + 1331*a(n-9).

%F Empirical g.f.: x*(14 + 168*x + 14*x^2 - 153*x^3 - 319*x^4 - 1595*x^5 - 121*x^6 - 121*x^7 + 1331*x^8) / ((1 - 2*x - 12*x^2 + 11*x^3)*(1 + 12*x^2 - 22*x^4 - 121*x^6)). - _Colin Barker_, Jun 28 2018

%e Some solutions for n=6:

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

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

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

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

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

%Y Cf. A208108.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 23 2012

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Last modified January 26 16:14 EST 2023. Contains 359833 sequences. (Running on oeis4.)