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

1,1

Comments

Column 3 of A209019.

Links

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

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).

Example

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

Crossrefs

Cf. A209019.

Sequence in context: A218518 A099366 A095657 * A268897 A034996 A166770

Adjacent sequences: A209011 A209012 A209013 * A209015 A209016 A209017

Keyword

nonn

Author

R. H. Hardin, Mar 04 2012

Status

approved