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A009977 Powers of 33. 4
1, 33, 1089, 35937, 1185921, 39135393, 1291467969, 42618442977, 1406408618241, 46411484401953, 1531578985264449, 50542106513726817, 1667889514952984961, 55040353993448503713, 1816331681783800622529 (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 33-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 (33).

FORMULA

G.f.: 1/(1-33*x). [From Philippe Deléham, Nov 24 2008]

a(n)=33^n; a(n)=33*a(n-1) n>0 a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

PROG

(MAGMA)[33^n: n in [0..100]] [From Vincenzo Librandi, Nov 21 2010]

CROSSREFS

Sequence in context: A207092 A188989 A189199 * A187539 A130835 A262101

Adjacent sequences:  A009974 A009975 A009976 * A009978 A009979 A009980

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 23 13:55 EDT 2017. Contains 285329 sequences.