A013827 a(n) = 3^(5*n + 2).
9, 2187, 531441, 129140163, 31381059609, 7625597484987, 1853020188851841, 450283905890997363, 109418989131512359209, 26588814358957503287787, 6461081889226673298932241, 1570042899082081611640534563
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+2): n in [0..15]]; // Vincenzo Librandi, Jul 07 2011
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Mathematica
3^(5*Range[0,20]+2) (* or *) NestList[243#&,9,20] (* Harvey P. Dale, Feb 05 2020 *)
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PARI
a(n)=3^(5*n+2) \\ Charles R Greathouse IV, Jul 11 2016
Formula
From Philippe Deléham, Nov 26 2008: (Start)
a(n) = 243*a(n-1), n > 0; a(0)=9.
G.f.: 9/(1-243*x).
a(n) = 3*A013826(n). (End)