A022115 Fibonacci sequence beginning 2, 11.

2, 11, 13, 24, 37, 61, 98, 159, 257, 416, 673, 1089, 1762, 2851, 4613, 7464, 12077, 19541, 31618, 51159, 82777, 133936, 216713, 350649, 567362, 918011, 1485373, 2403384, 3888757, 6292141, 10180898, 16473039, 26653937, 43126976, 69780913, 112907889, 182688802

Offset

0,1

Links

Ivan Panchenko, Table of n, a(n) for n = 0..1000

Tanya Khovanova, Recursive Sequences

Clark Kimberling, Problem Proposals, The Fibonacci Quarterly, vol. 52 #5, 2015, p5-14.

Index entries for linear recurrences with constant coefficients, signature (1,1).

Formula

G.f.: (2+9*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

a(n) = 12*F(n) + F(n-3). - J. M. Bergot, Jul 20 2017

Mathematica

CoefficientList[Series[(2 + 9 x)/(1 - x - x^2), {x, 0, 40}], x] (* Wesley Ivan Hurt, Jun 15 2014 *)

Crossrefs

Cf. A000032.

Sequence in context: A090416 A090430 A363215 * A042453 A041885 A247338

Adjacent sequences: A022112 A022113 A022114 * A022116 A022117 A022118

Keyword

nonn,easy

Author

N. J. A. Sloane, Jun 14 1998

Status

approved