A074527 a(n) = 2^n + 3^n + 5^n.
3, 10, 38, 160, 722, 3400, 16418, 80440, 397442, 1973320, 9825698, 49007320, 244676162, 1222305640, 6108314978, 30531959800, 152631002882, 763068724360, 3815084948258, 19074649113880, 95370919473602, 476847620653480
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (10,-31,30).
Programs
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Magma
[2^n + 3^n + 5^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011
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Mathematica
Table[2^n + 3^n + 5^n, {n, 0, 21}] LinearRecurrence[{10,-31,30},{3,10,38},30] (* Harvey P. Dale, Feb 05 2022 *) -
PARI
a(n)=2^n+3^n+5^n \\ Charles R Greathouse IV, Oct 07 2015
Formula
From Mohammad K. Azarian, Dec 26 2008: (Start)
G.f.: 1/(1-2*x) + 1/(1-3*x) + 1/(1-5*x).
E.g.f.: exp(2*x) + exp(3*x) + exp(5*x). (End)
a(n) = 10*a(n-1) - 31*a(n-2) + 30*a(n-3). - Wesley Ivan Hurt, May 26 2024