A074606 a(n) = 3^n + 5^n.

2, 8, 34, 152, 706, 3368, 16354, 80312, 397186, 1972808, 9824674, 49005272, 244672066, 1222297448, 6108298594, 30531927032, 152630937346, 763068593288, 3815084686114, 19074648589592, 95370918425026, 476847618556328

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (8,-15).

Formula

From Mohammad K. Azarian, Jan 11 2009: (Start)

G.f.: 1/(1-3*x) + 1/(1-5*x).

E.g.f.: exp(3*x) + exp(5*x). (End)

a(n) = 8*a(n-1) - 15*a(n-2) with a(0)=2, a(1)=8. - Vincenzo Librandi, Jul 21 2010

a(n) = 2*A081186(n). - R. J. Mathar, Mar 10 2022

Mathematica

Table[3^n + 5^n, {n, 0, 25}]

Prog

(Magma) [3^n + 5^n: n in [0..35]]; // Vincenzo Librandi, Apr 30 2011
(PARI) a(n)=3^n+5^n \\ Charles R Greathouse IV, Sep 28 2015
(SageMath) [3^n+5^n for n in range(41)] # G. C. Greubel, Jan 14 2024

Crossrefs

Cf. A000051, A007689, A034472, A034474, A034491, A052539, A062394, A062395, A062396, A063376, A063481, A074600..A074624, A081186.

Sequence in context: A150889 A150890 A150891 * A002928 A150892 A150893

Adjacent sequences: A074603 A074604 A074605 * A074607 A074608 A074609

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 25 2002

Status

approved