A120948 8n+3^n+5^n.

2, 16, 50, 176, 738, 3408, 16402, 80368, 397250, 1972880, 9824754, 49005360, 244672162, 1222297552, 6108298706, 30531927152, 152630937474, 763068593424, 3815084686258, 19074648589744, 95370918425186, 476847618556496

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

[8*n+3^n+5^n: n in [0..25]]; // Bruno Berselli, Feb 27 2013

Mathematica

CoefficientList[Series[2 (1 - 2 x - 23 x^2 + 56 x^3)/((1-5 x) (1 - 3 x) (1 - x)^2), {x, 0, 30}], x] (* Vincenzo Librandi, Feb 26 2013 *)
Table[8 n + 3^n + 5^n, {n, 0, 25}] (* Bruno Berselli, Feb 27 2013 *)

PARI

for(n=0, 25, print1(8*n+3^n+5^n", ")); \\ Bruno Berselli, Feb 27 2013

Formula

G.f.: 2*(1-2*x-23*x^2+56*x^3)/((1-5*x)*(1-3*x)*(1-x)^2). - Vincenzo Librandi, Feb 26 2013

Extensions

Edited by Ray Chandler, Sep 06 2006