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A009978 Powers of 34. 3

%I

%S 1,34,1156,39304,1336336,45435424,1544804416,52523350144,

%T 1785793904896,60716992766464,2064377754059776,70188843638032384,

%U 2386420683693101056,81138303245565435904,2758702310349224820736

%N Powers of 34.

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

%H T. D. Noe, <a href="/A009978/b009978.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 (34).

%F G.f.: 1/(1-34*x). - _Philippe Deléham_, Nov 24 2008

%F a(n) = 34^n; a(n) = 34*a(n-1), n > 0; a(0)=1. - _Vincenzo Librandi_, Nov 21 2010

%o (MAGMA) [34^n: n in [0..100]] // _Vincenzo Librandi_, Nov 21 2010

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified May 31 13:01 EDT 2020. Contains 334748 sequences. (Running on oeis4.)