A229407 Number of nX3 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally

57, 1756, 53538, 1629298, 49788258, 1519840402, 46408035676, 1416912709750, 43262165219520, 1320895600914374, 40330198228444030, 1231378827675817778, 37596999339380782420, 1147927946466853457658, 35049037211821475282406

Offset

1,1

Comments

Column 3 of A229412

Links

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

Formula

Empirical: a(n) = 18*a(n-1) +376*a(n-2) +224*a(n-3) -1664*a(n-4) +36983*a(n-5) -181958*a(n-6) +100599*a(n-7) +484260*a(n-8) -503501*a(n-9) -354823*a(n-10) +399643*a(n-11) +243696*a(n-12) +20412*a(n-13)

Example

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

Crossrefs

Sequence in context: A009702 A282932 A228259 * A270502 A285238 A011812

Adjacent sequences: A229404 A229405 A229406 * A229408 A229409 A229410

Keyword

nonn

Author

R. H. Hardin Sep 22 2013

Status

approved