A013831 a(n) = 4^(5n+2).
16, 16384, 16777216, 17179869184, 17592186044416, 18014398509481984, 18446744073709551616, 18889465931478580854784, 19342813113834066795298816, 19807040628566084398385987584, 20282409603651670423947251286016
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..70
- Tanya Khovanova, Recursive Sequences
- Index entries for linear recurrences with constant coefficients, signature (1024).
Programs
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Magma
[4^(5*n+2): n in [0..40]]; // Vincenzo Librandi, Apr 25 2011
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Mathematica
lst={};Do[AppendTo[lst,4^(5*n+2)],{n,0,4!}];lst (* Vladimir Joseph Stephan Orlovsky, Mar 02 2009 *) 4^(5*Range[0,20]+2) (* or *) NestList[1024#&,16,20] (* Harvey P. Dale, Apr 02 2018 *)
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PARI
a(n)=4^(5*n+2) \\ Charles R Greathouse IV, Jan 19 2012
Formula
a(n) = 1024*a(n-1), n>0; a(0)=16. G.f.: 16/(1-1024*x). a(n) = 4*A013830(n). - Philippe Deléham, Nov 30 2008