A188710 Number of 6 X n binary arrays without the pattern 0 0 diagonally or vertically.

21, 288, 4084, 57665, 813309, 11462588, 161506225, 2275402541, 32056524184, 451618426905, 6362474783637, 89635548416108, 1262799579803897, 17790516723173509, 250635561977240232, 3530992705334939489

Offset: 1

Author

R. H. Hardin, Apr 08 2011

Keywords

• nonn

Comments

Row 6 of A188706.

Examples

			Some solutions for 6 X 3:
  1 0 1   1 1 0   0 1 1   1 1 1   1 1 1   1 0 1   1 1 0
  1 1 1   0 0 1   1 1 0   1 1 1   1 1 1   0 1 1   0 0 1
  1 1 1   1 1 1   1 1 1   0 0 1   1 1 0   1 1 1   1 1 1
  0 0 1   0 1 1   0 0 0   1 1 1   0 1 1   0 0 0   0 1 0
  1 1 1   1 1 1   1 1 1   1 1 1   1 1 1   1 1 1   1 1 1
  0 1 0   0 0 1   0 1 0   0 1 1   0 0 0   0 1 1   1 1 0
		

Links

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

Crossrefs

Cf. A188706.

Formula

Empirical: a(n) = 21*a(n-1) - 112*a(n-2) + 217*a(n-3) - 157*a(n-4) + 36*a(n-5) for n>6.

Empirical g.f.: x*(21 - 153*x + 388*x^2 - 400*x^3 + 553*x^4 - 189*x^5) / (1 - 21*x + 112*x^2 - 217*x^3 + 157*x^4 - 36*x^5). - Colin Barker, Apr 28 2018