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A214143 Number of 0..4 colorings of a 2 X (n+1) array circular in the n+1 direction with new values 0..4 introduced in row major order. 1
4, 17, 257, 3074, 40434, 522515, 6800539, 88363628, 1148860844, 14934544493, 194151313701, 2523957115862, 32811479230534, 426549073848551, 5545138556625743, 72086798766250976, 937128393589298304 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 2 of A214141.

LINKS

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

FORMULA

Empirical: a(n) = 10*a(n-1) + 50*a(n-2) - 116*a(n-3) - 361*a(n-4) + 106*a(n-5) + 312*a(n-6).

Empirical: 3^n/4 +13^(n+1)/120 -(-1)^n/6 +(-2)^(n+1)/5 -2*(-4)^n/15 +41/120. - R. J. Mathar, Jul 07 2012

Empirical g.f.: x*(4 - 23*x - 113*x^2 + 118*x^3 + 260*x^4) / ((1 - x)*(1 + x)*(1 + 2*x)*(1 - 3*x)*(1 + 4*x)*(1 - 13*x)). - Colin Barker, Jul 22 2018

EXAMPLE

Some solutions for n=4:

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

..3..4..3..1..2....1..0..1..2..3....1..2..3..0..3....1..4..3..1..0

CROSSREFS

Cf. A214141.

Sequence in context: A032073 A032083 A126776 * A320986 A302145 A015489

Adjacent sequences:  A214140 A214141 A214142 * A214144 A214145 A214146

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2012

STATUS

approved

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Last modified August 15 15:31 EDT 2022. Contains 356148 sequences. (Running on oeis4.)