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A009988 Powers of 44. 3
1, 44, 1936, 85184, 3748096, 164916224, 7256313856, 319277809664, 14048223625216, 618121839509504, 27197360938418176, 1196683881290399744, 52654090776777588736, 2316779994178213904384, 101938319743841411792896 (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 44-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 (44).

FORMULA

G.f.: 1/(1-44*x). [From Philippe Deléham, Nov 24 2008]

a(n)=44^n; a(n)=44*a(n-1) a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

MATHEMATICA

44^Range[0, 20] (* Harvey P. Dale, May 22 2017 *)

PROG

(MAGMA)[44^n: n in [0..20]] [From Vincenzo Librandi, Nov 21 2010]

CROSSREFS

Sequence in context: A207180 A188751 A188871 * A041925 A094506 A121008

Adjacent sequences:  A009985 A009986 A009987 * A009989 A009990 A009991

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 23 03:42 EDT 2017. Contains 290958 sequences.