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A214113 Number of 0..3 colorings of a 2X(n+1) array circular in the n+1 direction with new values 0..3 introduced in row major order 1
4, 11, 111, 670, 4994, 34041, 241021, 1678940, 11777184, 82366471, 576786731, 4036842810, 28259892574, 197813269301, 1384710821241, 9692921940280, 67850615007164, 474953820774531, 3324678198248551, 23272743029259350 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 2 of A214112

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +22*a(n-2) -4*a(n-3) -21*a(n-4).

Empirical: G.f. -x*(7*x+4)*(3*x-1) / ( (x-1)*(3*x+1)*(7*x-1)*(1+x) ), a(n) = 11/24 +3*(-1)^(n+1)/8 +7^(n+1)/24 +(-3)^(n+1)/8. - R. J. Mathar, Jul 04 2012

EXAMPLE

Some solutions for n=4

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

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

CROSSREFS

Sequence in context: A144744 A267154 A320501 * A167418 A055979 A018242

Adjacent sequences:  A214110 A214111 A214112 * A214114 A214115 A214116

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 04 2012

STATUS

approved

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Last modified November 21 01:33 EST 2019. Contains 329349 sequences. (Running on oeis4.)