A209014 Number of n X 3 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.

36, 1430, 57412, 2303052, 92409982, 3707858104, 148774643618, 5969451726624, 239519039453858, 9610491871316864, 385612583729466606, 15472367675895217344, 620815222721162751908, 24909667900333112532040

Offset: 1

Author

R. H. Hardin, Mar 04 2012

Keywords

• nonn

Comments

Column 3 of A209019.

Examples

			Some solutions for n=4
..3..1..2....3..2..3....0..1..3....3..1..2....0..2..0....1..0..2....1..2..0
..1..3..3....0..2..3....2..3..1....1..3..3....3..0..0....3..2..1....3..3..3
..3..1..3....3..0..1....1..3..0....3..0..1....2..1..1....1..0..3....0..0..0
..1..3..3....2..3..2....2..0..0....1..1..1....0..2..1....3..0..2....2..1..3
		

Links

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

Crossrefs

Cf. A209019.

Formula

Empirical: a(n) = 30*a(n-1) +507*a(n-2) -3690*a(n-3) -16906*a(n-4) +106528*a(n-5) +124733*a(n-6) -1050424*a(n-7) +577820*a(n-8) +3131188*a(n-9) -4615763*a(n-10) -850984*a(n-11) +5888706*a(n-12) -4406256*a(n-13) +1242404*a(n-14) -133476*a(n-15) +1080*a(n-16) +864*a(n-17).