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A009980 Powers of 36. 8
1, 36, 1296, 46656, 1679616, 60466176, 2176782336, 78364164096, 2821109907456, 101559956668416, 3656158440062976, 131621703842267136, 4738381338321616896, 170581728179578208256, 6140942214464815497216 (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 36-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 (36).

FORMULA

G.f.: 1/(1-36*x). [From Philippe Deléham, Nov 24 2008]

a(n)=36^n; a(n)=36*a(n-1) n>0 a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

MATHEMATICA

36^Range[0, 20]  (* Harvey P. Dale, Mar 04 2011 *)

PROG

(MAGMA)[36^n: n in [0..20]] [From Vincenzo Librandi, Nov 21 2010]

(PARI) a(n)=36^n \\ Charles R Greathouse IV, Nov 18 2011

CROSSREFS

Sequence in context: A224352 A224194 A224011 * A041613 A255821 A209042

Adjacent sequences:  A009977 A009978 A009979 * A009981 A009982 A009983

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 27 21:03 EDT 2017. Contains 289866 sequences.