A120949 2n+3^n+5^n.

2, 10, 38, 158, 714, 3378, 16366, 80326, 397202, 1972826, 9824694, 49005294, 244672090, 1222297474, 6108298622, 30531927062, 152630937378, 763068593322, 3815084686150, 19074648589630, 95370918425066, 476847618556370

Offset: 0

Author

Mohammad K. Azarian, Aug 19 2006

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (10,-32,38,-15).

Crossrefs

Cf. A074606, A005058.

Programs

Magma

[2*n+3^n+5^n: n in [0..30]]; // Vincenzo Librandi, Feb 27 2013

Mathematica

Table[2 n + 3^n + 5^n, {n, 0, 30}] (* or *) CoefficientList[Series[2 (1 - 5 x + x^2 + 11 x^3)/((1 -5 x) (1 - 3 x) (1 - x)^2), {x, 0, 30}], x] (* Vincenzo Librandi, Feb 26 2013 *)
LinearRecurrence[{10,-32,38,-15},{2,10,38,158},30] (* Harvey P. Dale, Jan 18 2021 *)

PARI

a(n)=2*n+3^n+5^n \\ Charles R Greathouse IV, Feb 27 2013

Formula

G.f.: 2*(1-5*x+x^2+11*x^3)/((1-5*x)*(1-3*x)*(1-x)^2). - Vincenzo Librandi, Feb 26 2013

Extensions

Edited by Ray Chandler, Sep 06 2006