A210303 Number of (n+1)X3 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order

29, 1091, 27957, 655743, 14976529, 339125187, 7657326365, 172736626311, 3895426271881, 87837486236459, 1980567115521301, 44657472344530991, 1006924739685862081, 22703839965026573971, 511919216667906316429

Offset

1,1

Comments

Column 2 of A210309

Links

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

Formula

Empirical: a(n) = 35*a(n-1) -315*a(n-2) +729*a(n-3) +1132*a(n-4) -3804*a(n-5) +688*a(n-6) +1536*a(n-7)

Example

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

Crossrefs

Sequence in context: A237356 A176695 A243623 * A268461 A025761 A003735

Adjacent sequences: A210300 A210301 A210302 * A210304 A210305 A210306

Keyword

nonn

Author

R. H. Hardin Mar 19 2012

Status

approved