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A188709 Number of 5 X n binary arrays without the pattern 0 0 diagonally or vertically. 1
13, 120, 1141, 10857, 103484, 986929, 9413801, 89796720, 856564045, 8170716249, 77940041492, 743466128137, 7091886123065, 67649146608936, 645301822994341, 6155501787932937, 58717023436375724, 560098747441089889 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A188706.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 13*a(n-1) - 36*a(n-2) + 29*a(n-3) - 5*a(n-4) for n>5.

Empirical g.f.: x*(13 - 49*x + 49*x^2 - 33*x^3 + 4*x^4) / ((1 - x)*(1 - 12*x + 24*x^2 - 5*x^3)). - Colin Barker, Apr 28 2018

EXAMPLE

Some solutions for 5 X 3:

0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1

1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1

0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1

1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0

0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1

CROSSREFS

Cf. A188706.

Sequence in context: A253512 A295048 A295376 * A054962 A297394 A014918

Adjacent sequences: A188706 A188707 A188708 * A188710 A188711 A188712

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 08 2011

STATUS

approved

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Last modified March 24 11:39 EDT 2023. Contains 361479 sequences. (Running on oeis4.)