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A208111 Number of 6 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 #8 Jun 28 2018 08:42:14

%S 22,484,990,2025,22995,261121,768544,2262016,18608992,153091129,

%T 558232641,2035543689,13946476806,95553937924,397367788702,

%U 1652481969121,10150368975235,62348632093225,281328849436320,1269409109197824

%N Number of 6 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 6 of A208108.

%H R. H. Hardin, <a href="/A208111/b208111.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) + 21*a(n-3) + 438*a(n-4) - 456*a(n-5) - 399*a(n-6) - 7220*a(n-8) + 6859*a(n-9).

%F Empirical g.f.: x*(22 + 440*x + 22*x^2 - 417*x^3 - 855*x^4 - 7619*x^5 - 361*x^6 - 361*x^7 + 6859*x^8) / ((1 - 2*x - 20*x^2 + 19*x^3)*(1 + 20*x^2 - 38*x^4 - 361*x^6)). - _Colin Barker_, Jun 28 2018

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Cf. A208108.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 23 2012

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)