A074553 a(n) = 3^n + 5^n + 8^n.
3, 16, 98, 664, 4802, 36136, 278498, 2177464, 17174402, 136190536, 1083566498, 8638939864, 68964148802, 550978111336, 4404154809698, 35214904015864, 281627607648002, 2252562882278536, 18018213594168098, 144134262724445464
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (16,-79,120).
Programs
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Magma
[3^n + 5^n + 8^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011
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Mathematica
Table[3^n + 5^n + 8^n, {n, 0, 20}]
Formula
From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-5*x) + 1/(1-8*x).
E.g.f.: exp(3*x) + exp(5*x) + exp(8*x). (End)
a(n) = 16*a(n-1) - 79*a(n-2) + 120*a(n-3).