A074501 a(n) = 1^n + 2^n + 5^n.

3, 8, 30, 134, 642, 3158, 15690, 78254, 390882, 1953638, 9766650, 48830174, 244144722, 1220711318, 6103532010, 30517610894, 152587956162, 762939584198, 3814697527770, 19073486852414, 95367432689202, 476837160300278

Offset

0,1

Links

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (8,-17,10).

Formula

From Mohammad K. Azarian, Dec 26 2008: (Start)

G.f.: 1/(1-x) + 1/(1-2*x) + 1/(1-5*x).

E.g.f.: e^x + e^(2*x) + e^(5*x). (End)

a(n) = 7*a(n-1) - 10*a(n-2) + 4 with a(0)=3, a(1)=8. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[1^n + 2^n + 5^n, {n, 0, 24}]

Prog

(PARI) a(n)=1+2^n+5^n \\ Charles R Greathouse IV, Jun 10 2011

Crossrefs

Equals A074600(n) + 1.

Cf. A001550, A001576, A034513, A001579, A074502..A074580.

Sequence in context: A293250 A096161 A161779 * A009123 A066764 A349426

Adjacent sequences: A074498 A074499 A074500 * A074502 A074503 A074504

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved