A015611 a(n) = 12*a(n-1) + 7*a(n-2).

0, 1, 12, 151, 1896, 23809, 298980, 3754423, 47145936, 592032193, 7434407868, 93357119767, 1172326292280, 14721415345729, 184863268194708, 2321409125756599, 29150952386442144, 366061292517601921, 4596792176916318060, 57723935170619030167

Offset: 0

Author

Olivier Gérard

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..900
• Index entries for linear recurrences with constant coefficients, signature (12,7).

Programs

Magma

[n le 2 select n-1 else 12*Self(n-1) + 7*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 22 2012

Mathematica

Join[{a=0,b=1},Table[c=12*b+7*a;a=b;b=c,{n,60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 31 2011 *)
CoefficientList[Series[x/(1 - 12x - 7x^2), {x, 0, 30}], x] (* or *) LinearRecurrence[{12, 7}, {0, 1}, 30] (* Vincenzo Librandi, Nov 22 2012 *)

PARI

x='x+O('x^30); concat([0], Vec(x/(1-12*x-7*x^2))) \\ G. C. Greubel, Dec 30 2017

Sage

[lucas_number1(n,12,-7) for n in range(0, 18)] # Zerinvary Lajos, Apr 29 2009

Formula

G.f.: x/(1 - 12*x - 7*x^2). - Vincenzo Librandi, Nov 22 2012