A005029 - OEIS

%I #42 Aug 16 2024 19:03:52

%S 13,26,52,104,208,416,832,1664,3328,6656,13312,26624,53248,106496,

%T 212992,425984,851968,1703936,3407872,6815744,13631488,27262976,

%U 54525952,109051904,218103808,436207616,872415232,1744830464,3489660928,6979321856,13958643712

%N a(n) = 13*2^n.

%C The first differences are the sequence itself. - _Alexandre Wajnberg_ & _Eric Angelini_, Sep 07 2005

%C 13 times powers of 2. - _Omar E. Pol_, Dec 16 2008

%H Vincenzo Librandi, <a href="/A005029/b005029.txt">Table of n, a(n) for n = 0..1000</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 (2).

%F a(n) = 2*a(n-1), n>0; a(0)=13. G.f.: 13/(1-2*x). - _Philippe Deléham_, Nov 23 2008

%F a(n) = A000079(n)*13. - _Omar E. Pol_, Dec 16 2008

%F E.g.f.: 13*exp(2*x). - _Elmo R. Oliveira_, Aug 16 2024

%t 13*2^Range[0, 60] (* _Vladimir Joseph Stephan Orlovsky_, Jun 09 2011 *)

%t NestList[2#&,13,30] (* _Harvey P. Dale_, Oct 20 2012 *)

%t CoefficientList[Series[13 / (1 - 2 x), {x, 0, 50}], x] (* _Vincenzo Librandi_, Jun 08 2013 *)

%o (Magma) [13*2^n: n in [0..30]]; // _Vincenzo Librandi_, Jun 08 2013

%o (PARI) a(n)=13<<n \\ _Charles R Greathouse IV_, Oct 07 2015

%Y Cf. A000079. - _Omar E. Pol_, Dec 16 2008

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_