A214102 Number of 0..2 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..2 introduced in row major order

9, 4, 121, 180, 2041, 5068, 37441, 121588, 722009, 2720828, 14363985, 58850116, 291217929, 1250645324, 5970338241, 26327622356, 123189300217, 551369047260, 2551171130801, 11514142774628, 52942859314409, 240066004887660

Offset

1,1

Comments

Row 3 of A214101

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +15*a(n-2) -33*a(n-3) -22*a(n-4) +38*a(n-5) +8*a(n-6) -8*a(n-7).

Empirical: G.f. -x*(2*x^2-1)*(8*x^3-8*x^2-23*x+9) / ( (x-1)*(2*x-1)*(1+x)*(2*x^2-5*x+1)*(2*x^2+4*x+1) ). - R. J. Mathar, Jul 04 2012

Example

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

Crossrefs

Sequence in context: A317900 A298583 A038294 * A321575 A336610 A293100

Adjacent sequences: A214099 A214100 A214101 * A214103 A214104 A214105

Keyword

nonn

Author

R. H. Hardin Jul 04 2012

Status

approved