A074617 a(n) = 5^n + 8^n.

2, 13, 89, 637, 4721, 35893, 277769, 2175277, 17167841, 136170853, 1083507449, 8638762717, 68963617361, 550976517013, 4404150026729, 35214889666957, 281627564601281, 2252562753138373, 18018213206747609, 144134261562183997

Offset

0,1

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (13,-40).

Formula

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

G.f.: 1/(1-5*x) + 1/(1-8*x).

E.g.f.: e^(5*x) + e^(8*x). (End)

a(n) = 13*a(n-1) - 40*a(n-2) with a(0)=2, a(1)=13. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[5^n + 8^n, {n, 0, 20}]
LinearRecurrence[{13, -40}, {2, 13}, 30] (* Harvey P. Dale, Oct 20 2015 *)

Crossrefs

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

Sequence in context: A033891 A172968 A126035 * A337169 A367785 A199489

Adjacent sequences: A074614 A074615 A074616 * A074618 A074619 A074620

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 26 2002

Status

approved