A210399 Number of (n+1)X4 0..3 arrays with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order

549, 29647, 1596154, 85979301, 4631193134, 249456180709, 13436785945910, 723763304576749, 38985016148233742, 2099901274580672917, 113109748262417625254, 6092579354615210957373, 328172626696350857253566

Offset

1,1

Comments

Column 3 of A210404

Links

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

Formula

Empirical: a(n) = 65*a(n-1) -483*a(n-2) -7397*a(n-3) +54220*a(n-4) +315572*a(n-5) -1567384*a(n-6) -4952640*a(n-7) +15991008*a(n-8) +21762048*a(n-9) -51440128*a(n-10) -13774848*a(n-11) +33619968*a(n-12)

Example

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

Crossrefs

Sequence in context: A235829 A235834 A235585 * A232314 A141547 A236723

Adjacent sequences: A210396 A210397 A210398 * A210400 A210401 A210402

Keyword

nonn

Author

R. H. Hardin Mar 21 2012

Status

approved