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A009991 Powers of 47. 6
1, 47, 2209, 103823, 4879681, 229345007, 10779215329, 506623120463, 23811286661761, 1119130473102767, 52599132235830049, 2472159215084012303, 116191483108948578241, 5460999706120583177327 (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 47-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011

Numbers n such that sigma(47*n) = 47*n + sigma(n). - Jahangeer Kholdi, Nov 24 2013

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 (47).

FORMULA

G.f.: 1/(1-47*x). - Philippe Deléham, Nov 24 2008

a(n)=47^n; a(n)=47*a(n-1) a(0)=1 [From Vincenzo Librandi, Nov 21 2010]

PROG

(MAGMA)[47^n: n in [0..20]] [From Vincenzo Librandi, Nov 21 2010]

(PARI) a(n)=47^n \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Sequence in context: A170766 A218749 A049668 * A052463 A005148 A123798

Adjacent sequences:  A009988 A009989 A009990 * A009992 A009993 A009994

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 24 05:50 EDT 2017. Contains 288697 sequences.