A188709 Number of 5 X n binary arrays without the pattern 0 0 diagonally or vertically.

13, 120, 1141, 10857, 103484, 986929, 9413801, 89796720, 856564045, 8170716249, 77940041492, 743466128137, 7091886123065, 67649146608936, 645301822994341, 6155501787932937, 58717023436375724, 560098747441089889

Offset: 1

Author

R. H. Hardin, Apr 08 2011

Keywords

• nonn

Comments

Row 5 of A188706.

Examples

			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
		

Links

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

Crossrefs

Cf. A188706.

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