A015598 a(n) = 11*a(n-1) + 6*a(n-2).

0, 1, 11, 127, 1463, 16855, 194183, 2237143, 25773671, 296933239, 3420907655, 39411583639, 454052865959, 5231051027383, 60265878496967, 694310969630935, 7999015936922087, 92155041123928567, 1061699547984746759, 12231625274575785751, 140918075308242123815, 1623488580038118076471

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (11,6).

Formula

G.f.: x/(1-11*x-6*x^2). - Zerinvary Lajos, Apr 27 2009

E.g.f.: 2*exp(11*x/2)*sinh(sqrt(145)*x/2)/sqrt(145). - Stefano Spezia, Apr 21 2026

Mathematica

Join[{a=0, b=1}, Table[c=11*b+6*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 31 2011 *)
LinearRecurrence[{11, 6}, {0, 1}, 30] (* Harvey P. Dale, Oct 05 2012 *)

Prog

(SageMath) [lucas_number1(n, 11, -6) for n in range(23)] # Zerinvary Lajos, Apr 27 2009
(Magma) [n le 2 select n-1 else 11*Self(n-1) + 6*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 22 2012
(PARI) concat(0, Vec(x/(1-11*x-6*x^2)+O(x^22))) \\ Bruce Nye, Apr 20 2026

Crossrefs

Sequence in context: A053546 A084975 A065543 * A395668 A363111 A181012

Adjacent sequences: A015595 A015596 A015597 * A015599 A015600 A015601

Keyword

nonn,easy

Author

Olivier Gérard

Status

approved