A153079 a(n) = 13^n + 2.

3, 15, 171, 2199, 28563, 371295, 4826811, 62748519, 815730723, 10604499375, 137858491851, 1792160394039, 23298085122483, 302875106592255, 3937376385699291, 51185893014090759, 665416609183179843, 8650415919381337935, 112455406951957393131

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (14,-13).

Formula

a(n) = 1 + A141012(n+1). - R. J. Mathar, Jan 05 2011

G.f.: ( 3-27*x ) / ( (13*x-1)*(x-1) ). - R. J. Mathar, Jan 05 2011

Mathematica

LinearRecurrence[{14, -13}, {3, 15}, 30]
13^Range[0, 20]+2 (* Harvey P. Dale, Aug 13 2019 *)

Prog

(Magma) I:=[3, 15]; [n le 2 select I[n] else 14*Self(n-1)-13*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Feb 25 2012

Crossrefs

Sequence in context: A132683 A059386 A077792 * A173301 A361053 A260079

Adjacent sequences: A153076 A153077 A153078 * A153080 A153081 A153082

Keyword

nonn,easy

Author

Vincenzo Librandi, Feb 10 2009

Extensions

a(9) corrected and a(17), a(18) added by R. J. Mathar, Jan 05 2011

Status

approved