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A188829 Number of 7 X n binary arrays without the pattern 0 1 diagonally or antidiagonally. 1

%I #9 Apr 30 2018 12:24:02

%S 128,64,224,784,2800,10000,36000,129600,468000,1690000,6110000,

%T 22090000,79900000,289000000,1045500000,3782250000,13683750000,

%U 49506250000,179112500000,648025000000,2344562500000,8482656250000,30690468750000

%N Number of 7 X n binary arrays without the pattern 0 1 diagonally or antidiagonally.

%C Row 7 of A188824.

%H R. H. Hardin, <a href="/A188829/b188829.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 5*a(n-1) - 25*a(n-3) + 25*a(n-4) for n>5.

%F Empirical g.f.: 16*x*(8 - 36*x - 6*x^2 + 179*x^3 - 170*x^4) / ((1 - 5*x + 5*x^2)*(1 - 5*x^2)). - _Colin Barker_, Apr 30 2018

%e Some solutions for 7 X 3:

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

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

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

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

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

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

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

%Y Cf. A188824.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 11 2011

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Last modified April 15 00:51 EDT 2024. Contains 371667 sequences. (Running on oeis4.)