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%I #43 Mar 12 2024 22:30:51
%S 11,22,44,88,176,352,704,1408,2816,5632,11264,22528,45056,90112,
%T 180224,360448,720896,1441792,2883584,5767168,11534336,23068672,
%U 46137344,92274688,184549376,369098752,738197504,1476395008,2952790016,5905580032,11811160064
%N a(n) = 11*2^n.
%C The first differences are the sequence itself. - _Alexandre Wajnberg_ & _Eric Angelini_, Sep 07 2005
%C 11 times powers of 2. - _Omar E. Pol_, Dec 16 2008
%C A144472=-1,2,9,13,31,57,.... a(n)=A144472(n+1)+A144472(n+2). Also a(n)=A144472(n+3)-A144472(n+1). A144472(n+1) is a Jacobsthal sequence from 2 and 9: A144472(n+3)=A144472(n+2)+2*A144472(n+1). Note a(n) mod 9=period 6:repeat 2,4,8,7,5,1=A153130(n+1). - _Paul Curtz_, Jan 06 2009
%H Vincenzo Librandi, <a href="/A005015/b005015.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 G.f.: 11/(1-2*x).
%F a(n) = 2*a(n-1), n>0; a(0)=11. - _Philippe Deléham_, Nov 23 2008
%F a(n) = A000079(n)*11. - _Omar E. Pol_, Dec 16 2008
%t 11*2^Range[0, 60] (* _Vladimir Joseph Stephan Orlovsky_, Jun 09 2011 *)
%t NestList[2#&,11,30] (* _Harvey P. Dale_, Jun 11 2021 *)
%o (Magma) [11*2^n: n in [0..40]]; // _Vincenzo Librandi_, Aug 14 2011
%o (PARI) a(n)=11<<n \\ _Charles R Greathouse IV_, Oct 07 2015
%Y Row sums of (10, 1)-Pascal triangle A093645.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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