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

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (10,-31,30).

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)

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 *)

Prog

(Magma) [2^n + 3^n + 5^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011
(PARI) a(n)=2^n+3^n+5^n \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Cf. A001550, A001576, A034513, A001579, A074501-A074580.

Sequence in context: A000902 A151063 A103138 * A338781 A359109 A346815

Adjacent sequences: A074524 A074525 A074526 * A074528 A074529 A074530

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved