



1, 40, 1600, 64000, 2560000, 102400000, 4096000000, 163840000000, 6553600000000, 262144000000000, 10485760000000000, 419430400000000000, 16777216000000000000, 671088640000000000000, 26843545600000000000000
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OFFSET

0,2


COMMENTS

The compositions of n in which each natural number is colored by one of p different colors are called pcolored compositions of n. For n >= 1, a(n) equals the number of 40colored 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 (40).


FORMULA

G.f.: 1/(1  40*x).  Philippe Deléham, Nov 24 2008
a(n) = 40^n; a(n) = 40*a(n1) a(0) = 1.  Vincenzo Librandi, Nov 21 2010


MATHEMATICA

40^Range[0, 19] (* Alonso del Arte, Sep 04 2016 *)


PROG

(MAGMA) [40^n: n in [0..20]] // Vincenzo Librandi, Nov 21 2010
(PARI) a(n)=40^n \\ Charles R Greathouse IV, Jun 19 2015
(PARI) powers(40, 10) \\ Charles R Greathouse IV, Jun 19 2015


CROSSREFS

Cf. A000302 (powers of 4), A011557 (powers of 10).
Sequence in context: A207425 A207740 A208082 * A041761 A229635 A229584
Adjacent sequences: A009981 A009982 A009983 * A009985 A009986 A009987


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane, Dec 11 1996


STATUS

approved



