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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
OFFSET
1,1
COMMENTS
Row 2 of A214112
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin Jul 04 2012
STATUS
approved