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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 1
9, 4, 121, 180, 2041, 5068, 37441, 121588, 722009, 2720828, 14363985, 58850116, 291217929, 1250645324, 5970338241, 26327622356, 123189300217, 551369047260, 2551171130801, 11514142774628, 52942859314409, 240066004887660 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 28 18:24 EDT 2022. Contains 354122 sequences. (Running on oeis4.)