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A188862 Number of n X 5 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally. 1

%I #8 May 01 2018 08:43:22

%S 32,99,178,259,340,421,502,583,664,745,826,907,988,1069,1150,1231,

%T 1312,1393,1474,1555,1636,1717,1798,1879,1960,2041,2122,2203,2284,

%U 2365,2446,2527,2608,2689,2770,2851,2932,3013,3094,3175,3256,3337,3418,3499,3580

%N Number of n X 5 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.

%C Column 5 of A188866.

%H R. H. Hardin, <a href="/A188862/b188862.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 81*n - 65 for n>2.

%F Empirical g.f.: x*(32 + 35*x + 12*x^2 + 2*x^3) / (1 - x)^2. - _Colin Barker_, May 01 2018

%e Some solutions for 3 X 5:

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

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

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

%Y Cf. A188866.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2011

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Last modified April 18 03:33 EDT 2024. Contains 371767 sequences. (Running on oeis4.)