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A009983 Powers of 39. 5
1, 39, 1521, 59319, 2313441, 90224199, 3518743761, 137231006679, 5352009260481, 208728361158759, 8140406085191601, 317475837322472439, 12381557655576425121, 482880748567480579719, 18832349194131742609041 (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 39-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 (39).

FORMULA

G.f.: 1/(1-39*x). [From Philippe Deléham, Nov 24 2008]

a(n)=39^n; a(n)=39*a(n-1) a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

MATHEMATICA

39^Range[0, 20] (* Harvey P. Dale, Dec 02 2010 *)

PROG

(MAGMA)[39^n: n in [0..20]] [From Vincenzo Librandi, Nov 21 2010]

(PARI) a(n)=39^n \\ Charles R Greathouse IV, Nov 18 2011

CROSSREFS

Sequence in context: A170758 A218741 A112617 * A269028 A158768 A139191

Adjacent sequences:  A009980 A009981 A009982 * A009984 A009985 A009986

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 25 05:37 EDT 2017. Contains 284036 sequences.