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A214107 Number of 0..3 colorings on an nX4 array circular in the 4 direction with new values 0..3 introduced in row major order 1
4, 111, 3502, 110985, 3517864, 111505491, 3534382642, 112029109005, 3550979773324, 112555187335671, 3567654845960182, 113083736087142225, 3584408223207742384, 113614766854701858651, 3601240272765698000122 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A214112

LINKS

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

FORMULA

Empirical: a(n) = 35*a(n-1) -107*a(n-2) +73*a(n-3).

Empirical: G.f. -x*(5*x-1)*(9*x-4) / ( (x-1)*(73*x^2-34*x+1) ). - R. J. Mathar, Jul 04 2012

EXAMPLE

Some solutions for n=4

..0..1..2..1....0..1..2..1....0..1..2..1....0..1..2..1....0..1..0..1

..2..0..1..3....1..2..1..2....1..0..1..2....3..0..3..2....1..0..1..0

..1..3..0..2....0..3..0..3....2..3..2..0....0..1..0..3....0..1..2..3

..2..0..2..3....1..0..2..0....0..1..0..1....3..2..1..2....3..0..3..1

CROSSREFS

Sequence in context: A201450 A286424 A181272 * A202518 A212655 A181485

Adjacent sequences:  A214104 A214105 A214106 * A214108 A214109 A214110

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 04 2012

STATUS

approved

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Last modified May 22 13:12 EDT 2022. Contains 353950 sequences. (Running on oeis4.)