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A009984 Powers of 40. 2

%I

%S 1,40,1600,64000,2560000,102400000,4096000000,163840000000,

%T 6553600000000,262144000000000,10485760000000000,419430400000000000,

%U 16777216000000000000,671088640000000000000,26843545600000000000000

%N Powers of 40.

%C 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 40-colored compositions of n such that no adjacent parts have the same color. - _Milan Janjic_, Nov 17 2011

%H T. D. Noe, <a href="/A009984/b009984.txt">Table of n, a(n) for n = 0..100</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (40).

%F G.f.: 1/(1 - 40*x). - _Philippe Deléham_, Nov 24 2008

%F a(n) = 40^n; a(n) = 40*a(n-1) a(0) = 1. - _Vincenzo Librandi_, Nov 21 2010

%t 40^Range[0, 19] (* _Alonso del Arte_, Sep 04 2016 *)

%o (MAGMA) [40^n: n in [0..20]] // _Vincenzo Librandi_, Nov 21 2010

%o (PARI) a(n)=40^n \\ _Charles R Greathouse IV_, Jun 19 2015

%o (PARI) powers(40,10) \\ _Charles R Greathouse IV_, Jun 19 2015

%Y Cf. A000302 (powers of 4), A011557 (powers of 10).

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Dec 11 1996

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Last modified November 17 18:24 EST 2019. Contains 329241 sequences. (Running on oeis4.)