A209739 Number of n X 3 0..5 arrays with every 2 X 2 subblock containing exactly one value repeat, and new values 0..5 introduced in row major order.

5, 57, 2025, 103373, 6262064, 404495219, 26715084257, 1777603386801, 118573281463225, 7915782848604211, 528589085007311295, 35300530985616790273, 2357529150039721810029, 157447991892723989479547

Offset

1,1

Comments

Column 3 of A209744.

Links

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

Formula

Empirical: a(n) = 100*a(n-1) -2365*a(n-2) +6020*a(n-3) +291532*a(n-4) -2681320*a(n-5) +4701820*a(n-6) +23602304*a(n-7) -82586672*a(n-8) +27026368*a(n-9) +113762816*a(n-10) -78159872*a(n-11) +7864320*a(n-12) for n>13.

Example

Some solutions for n=5
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..1..2..1....1..2..3....1..2..1....1..2..1....1..2..1....1..2..1....1..2..1
..0..0..0....3..1..1....1..0..0....0..0..1....3..3..1....2..0..0....3..3..2
..1..3..4....4..3..0....1..2..3....1..2..1....0..1..2....0..3..4....2..4..2
..1..5..3....5..3..1....0..0..3....0..0..0....0..3..1....0..5..4....0..0..2

Crossrefs

Cf. A209744.

Sequence in context: A009480 A009481 A209498 * A209460 A209522 A213796

Adjacent sequences: A209736 A209737 A209738 * A209740 A209741 A209742

Keyword

nonn

Author

R. H. Hardin Mar 12 2012

Status

approved