A015593 a(n) = 11*a(n-1) + 2*a(n-2).

0, 1, 11, 123, 1375, 15371, 171831, 1920883, 21473375, 240048891, 2683484551, 29998427843, 335349675375, 3748843284811, 41907975483671, 468485416890003, 5237155536757375, 58545681738111131, 654476810192737191, 7316336275596331363

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (11,2).

Formula

G.f.: 1/(1 - 11*x - 2*x^2). - Zerinvary Lajos, Dec 20 2008

Mathematica

Join[{a=0, b=1}, Table[c=11*b+2*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 31 2011 *)
LinearRecurrence[{11, 2}, {0, 1}, 30] (* Vincenzo Librandi, Nov 15 2012 *)

Prog

(Sage) [lucas_number1(n, 11, -2) for n in range(0, 18)] # Zerinvary Lajos, Apr 27 2009
(Magma) [n le 2 select n-1 else 11*Self(n-1) + 2*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 15 2012

Crossrefs

Sequence in context: A015499 A039438 A258843 * A224816 A015594 A209605

Adjacent sequences: A015590 A015591 A015592 * A015594 A015595 A015596

Keyword

nonn,easy

Author

Olivier Gérard

Extensions

Entries verified by Neven Juric (neven.juric(AT)apis-it.hr), Jan 28 2008

Status

approved