A015610 a(n) = 12*a(n-1) + 5*a(n-2) for n >= 2, a(0) = 0, a(1) = 1.

0, 1, 12, 149, 1848, 22921, 284292, 3526109, 43734768, 542447761, 6728046972, 83448802469, 1035025864488, 12837554386201, 159225781956852, 1974897155413229, 24494894774743008, 303813223073982241, 3768233150761501932, 46737863924507934389

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (12,5).

Formula

G.f.: x/(1 - 12*x - 5*x^2). - Vincenzo Librandi, Nov 22 2012

Mathematica

Join[{a=0, b=1}, Table[c=12*b+5*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 31 2011 *)
CoefficientList[Series[x/(1 - 12x - 5x^2), {x, 0, 30}], x] (* or *) LinearRecurrence[{12, 5}, {0, 1}, 30] (* Vincenzo Librandi, Nov 22 2012 *)

Prog

(Sage) [lucas_number1(n, 12, -5) for n in range(0, 18)] # Zerinvary Lajos, Apr 29 2009
(Magma) [n le 2 select n-1 else 12*Self(n-1) + 5*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 22 2012
(PARI) x='x+O('x^30); concat([0], Vec(x/(1-12*x-5*x^2))) \\ G. C. Greubel, Dec 30 2017

Crossrefs

Sequence in context: A001406 A057572 A114106 * A141326 A154733 A305544

Adjacent sequences: A015607 A015608 A015609 * A015611 A015612 A015613

Keyword

nonn,easy

Author

Olivier Gérard

Status

approved