A229406 Number of n X 2 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

15, 163, 1756, 18712, 199595, 2127718, 22684613, 241841143, 2578301479, 27487534672, 293047669224, 3124213038091, 33307577031714, 355095715688893, 3785714221110283, 40359912854042611, 430281439964832908

Offset

1,1

Links

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

Formula

Empirical: a(n) = 10*a(n-1) + 13*a(n-2) - 67*a(n-3) + 38*a(n-4) - 2*a(n-5).

Empirical g.f.: x*(15 + 13*x - 69*x^2 + 38*x^3 - 2*x^4) / (1 - 10*x - 13*x^2 + 67*x^3 - 38*x^4 + 2*x^5). - Colin Barker, Sep 15 2018

Example

Some solutions for n=3:
..3..3....3..2....2..3....3..3....1..0....0..2....1..0....1..0....0..2....3..3
..2..2....3..0....1..2....2..0....3..0....3..3....3..2....1..0....1..3....1..3
..1..0....0..1....1..3....3..3....3..0....1..2....2..3....3..1....2..0....0..1

Crossrefs

Column 2 of A229412.

Sequence in context: A016243 A164599 A016291 * A118093 A167615 A210326

Adjacent sequences: A229403 A229404 A229405 * A229407 A229408 A229409

Keyword

nonn

Author

R. H. Hardin, Sep 22 2013

Status

approved