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

Author

R. H. Hardin Sep 22 2013

Keywords

• nonn

Comments

Column 3 of A229412

Examples

			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
		

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)