A013826 a(n) = 3^(5*n + 1).
3, 729, 177147, 43046721, 10460353203, 2541865828329, 617673396283947, 150094635296999121, 36472996377170786403, 8862938119652501095929, 2153693963075557766310747, 523347633027360537213511521, 127173474825648610542883299603, 30903154382632612361920641803529
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Tanya Khovanova, Recursive Sequences
- Index entries for linear recurrences with constant coefficients, signature (243).
Programs
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Magma
[3^(5*n+1): n in [0..15]]; // Vincenzo Librandi, Jul 07 2011
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Mathematica
NestList[243#&,3,20] (* Harvey P. Dale, Jan 26 2013 *)
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Maxima
makelist(3^(5*n+1),n,0,20); /* Martin Ettl, Oct 21 2012 */
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PARI
a(n)=3^(5*n+1) \\ Charles R Greathouse IV, Jul 11 2016
Formula
From Philippe Deléham, Nov 26 2008: (Start)
a(n) = 243*a(n-1); a(0)=3.
G.f.: 3/(1-243*x). (End)
E.g.f.: 3*exp(243*x). - Stefano Spezia, Feb 20 2025