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A009987 Powers of 43. 3
1, 43, 1849, 79507, 3418801, 147008443, 6321363049, 271818611107, 11688200277601, 502592611936843, 21611482313284249, 929293739471222707, 39959630797262576401, 1718264124282290785243, 73885357344138503765449 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

The compositions of n in which each natural number is colored by one of p different colors are called p-colored compositions of n. For n>=1, a(n) equals the number of 43-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011

LINKS

T. D. Noe, Table of n, a(n) for n=0..100

Tanya Khovanova, Recursive Sequences

FORMULA

G.f.: 1/(1-43*x). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 24 2008]

a(n)=43^n; a(n)=43*a(n-1) a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

CROSSREFS

(MAGMA)[43^n: n in [0..20]] [From Vincenzo Librandi, Nov 21 2010]

Sequence in context: A170676 A170724 A170762 * A076572 A015258 A130014

Adjacent sequences:  A009984 A009985 A009986 * A009988 A009989 A009990

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 22:37 EST 2012. Contains 205679 sequences.