A229367 Number of nX3 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally

22, 184, 1610, 13937, 122497, 1067299, 9346997, 81633583, 713982837, 6240061504, 54556988152, 476904755485, 4169201095109, 36446367090562, 318614423423484, 2785298770230012, 24348966185185668, 212857075051476381

Offset

1,1

Comments

Column 3 of A229372

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +61*a(n-2) +48*a(n-3) -586*a(n-4) -158*a(n-5) +2199*a(n-6) -1140*a(n-7) -1304*a(n-8) +440*a(n-9) +416*a(n-10) +64*a(n-11)

Example

Some solutions for n=4
..0..2..0....1..0..1....0..1..2....0..2..2....1..0..2....0..0..1....1..0..0
..0..1..2....2..2..0....1..0..1....0..1..0....2..0..1....2..0..1....1..2..1
..1..2..1....0..1..0....1..2..1....0..2..2....1..2..1....1..0..1....2..1..0
..2..0..2....0..2..1....0..0..2....0..0..1....1..0..2....2..2..1....0..2..1

Crossrefs

Sequence in context: A248494 A248495 A248496 * A129126 A231749 A072040

Adjacent sequences: A229364 A229365 A229366 * A229368 A229369 A229370

Keyword

nonn

Author

R. H. Hardin Sep 21 2013

Status

approved