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A009990 Powers of 46. 3
1, 46, 2116, 97336, 4477456, 205962976, 9474296896, 435817657216, 20047612231936, 922190162669056, 42420747482776576, 1951354384207722496, 89762301673555234816, 4129065876983540801536, 189937030341242876870656 (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  46-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 (46).

FORMULA

G.f.: 1/(1-46*x). [From Philippe Deléham, Nov 24 2008]

a(n)=46^n; a(n)=46*a(n-1) a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

MATHEMATICA

46^Range[0, 20] (* or *) NestList[46#&, 1, 20] (* Harvey P. Dale, Jan 15 2017 *)

PROG

(MAGMA)[46^n: n in [0..20]] [From Vincenzo Librandi, Nov 21 2010]

CROSSREFS

Sequence in context: A223785 A264525 A223971 * A042013 A234153 A123830

Adjacent sequences:  A009987 A009988 A009989 * A009991 A009992 A009993

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 23 23:53 EDT 2017. Contains 286937 sequences.