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A009987 Powers of 43. 5
1, 43, 1849, 79507, 3418801, 147008443, 6321363049, 271818611107, 11688200277601, 502592611936843, 21611482313284249, 929293739471222707, 39959630797262576401, 1718264124282290785243, 73885357344138503765449 (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 43-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011

Numbers n such that sigma(43*n) = 43*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 (43).

FORMULA

G.f.: 1/(1-43*x). - Philippe Deléham, Nov 24 2008

a(n) = 43^n; a(n) = 43*a(n-1), a(0)=1. - Vincenzo Librandi, Nov 21 2010

MATHEMATICA

43^Range[0, 20] (* Harvey P. Dale, Nov 30 2014 *)

PROG

(MAGMA)[43^n: n in [0..20]] // Vincenzo Librandi, Nov 21 2010

(PARI) a(n)=43^n \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Sequence in context: A170762 A218745 A262470 * A267532 A076572 A015258

Adjacent sequences:  A009984 A009985 A009986 * A009988 A009989 A009990

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 26 02:24 EDT 2017. Contains 288749 sequences.