A199031 a(n) = 2*12^n-1.

1, 23, 287, 3455, 41471, 497663, 5971967, 71663615, 859963391, 10319560703, 123834728447, 1486016741375, 17832200896511, 213986410758143, 2567836929097727, 30814043149172735, 369768517790072831, 4437222213480873983

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (13,-12).

Formula

a(n) = 12*a(n-1)+11.

a(n) = 13*a(n-1)-12*a(n-2).

G.f.: (1+10*x)/((1-x)*(1-12*x)). - Bruno Berselli, Nov 03 2011

Mathematica

LinearRecurrence[{13, -12}, {1, 23}, 40] (* Harvey P. Dale, Feb 21 2013 *)

Prog

(Magma) [2*12^n-1: n in [0..20]];

Crossrefs

Sequence in context: A010975 A022588 A268992 * A125435 A086943 A131273

Adjacent sequences: A199028 A199029 A199030 * A199032 A199033 A199034

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 03 2011

Status

approved