A208110 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

14, 196, 406, 841, 6235, 46225, 134160, 389376, 2189616, 12313081, 42602769, 147403881, 722705166, 3543344676, 13461507270, 51141561025, 233619318395, 1067194368601, 4261393225856, 17016087003136, 74907424036224

Offset

1,1

Comments

Row 5 of A208108.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 2*a(n-1) + 13*a(n-3) + 166*a(n-4) - 176*a(n-5) - 143*a(n-6) - 1452*a(n-8) + 1331*a(n-9).

Empirical g.f.: x*(14 + 168*x + 14*x^2 - 153*x^3 - 319*x^4 - 1595*x^5 - 121*x^6 - 121*x^7 + 1331*x^8) / ((1 - 2*x - 12*x^2 + 11*x^3)*(1 + 12*x^2 - 22*x^4 - 121*x^6)). - Colin Barker, Jun 28 2018

Example

Some solutions for n=6:
..1..1..1..1..1..0....0..0..1..1..1..1....1..0..1..1..1..1....1..0..1..1..0..1
..0..0..1..1..1..1....0..1..1..1..1..1....1..1..0..1..1..0....1..0..1..1..1..0
..0..0..1..1..1..0....1..0..1..1..1..1....1..0..0..1..1..1....1..1..1..1..0..0
..0..0..1..1..1..0....0..0..1..1..1..1....1..0..1..1..1..0....1..0..1..1..0..0
..0..1..1..1..1..0....1..1..1..1..1..1....1..1..0..1..1..1....1..1..1..1..0..1

Crossrefs

Cf. A208108.

Sequence in context: A171319 A007655 A208383 * A208842 A207490 A207887

Adjacent sequences: A208107 A208108 A208109 * A208111 A208112 A208113

Keyword

nonn

Author

R. H. Hardin, Feb 23 2012

Status

approved