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A009978 Powers of 34. 3
1, 34, 1156, 39304, 1336336, 45435424, 1544804416, 52523350144, 1785793904896, 60716992766464, 2064377754059776, 70188843638032384, 2386420683693101056, 81138303245565435904, 2758702310349224820736 (list; graph; refs; listen; history; text; 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 34-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

Index entries for linear recurrences with constant coefficients, signature (34).

FORMULA

G.f.: 1/(1-34*x). [From Philippe Deléham, Nov 24 2008]

a(n)=34^n; a(n)=34*a(n-1) n>0 a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

PROG

(MAGMA)[34^n: n in [0..100]] [From Vincenzo Librandi, Nov 21 2010]

CROSSREFS

Sequence in context: A091761 A264134 A264019 * A041545 A189434 A167258

Adjacent sequences:  A009975 A009976 A009977 * A009979 A009980 A009981

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 30 14:19 EDT 2017. Contains 284302 sequences.