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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
OFFSET
1,1
COMMENTS
Row 5 of A188706.
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 08 2011
STATUS
approved