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A188827 Number of 5 X n binary arrays without the pattern 0 1 diagonally or antidiagonally. 1

%I #9 Apr 30 2018 12:35:04

%S 32,36,120,400,1360,4624,15776,53824,183744,627264,2141568,7311616,

%T 24963328,85229824,290992640,993510400,3392056320,11581203456,

%U 39540701184,135000395776,460920180736,1573679927296,5372879347712

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

%C Row 5 of A188824.

%H R. H. Hardin, <a href="/A188827/b188827.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 4*a(n-1) -8*a(n-3) +4*a(n-4) for n>5.

%F Empirical g.f.: 4*x*(8 - 23*x - 6*x^2 + 44*x^3 - 20*x^4) / ((1 - 4*x + 2*x^2)*(1 - 2*x^2)). - _Colin Barker_, Apr 30 2018

%e Some solutions for 5 X 3:

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

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

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

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

%e ..0..0..0....0..0..0....0..1..0....0..0..0....0..0..0....1..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 March 1 12:07 EST 2024. Contains 370433 sequences. (Running on oeis4.)