A022117 Fibonacci sequence beginning 2, 15.

2, 15, 17, 32, 49, 81, 130, 211, 341, 552, 893, 1445, 2338, 3783, 6121, 9904, 16025, 25929, 41954, 67883, 109837, 177720, 287557, 465277, 752834, 1218111, 1970945, 3189056, 5160001, 8349057, 13509058, 21858115, 35367173, 57225288, 92592461, 149817749

Offset

0,1

Links

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

Tanya Khovanova, Recursive Sequences

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

Formula

G.f.: (2+13*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

a(n) = a(n-1) + a(n-2). - Wesley Ivan Hurt, Oct 01 2021

Mathematica

a={}; b=2; c=15; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 1, 40, 1}]; a (* Vladimir Joseph Stephan Orlovsky, Jul 23 2008 *)
Transpose[NestList[{#[[2]], #[[1]]+#[[2]]}&, {2, 15}, 40]][[1]] (* Harvey P. Dale, Dec 16 2010 *)
CoefficientList[Series[(2 + 13 x)/(1 - x - x^2), {x, 0, 40}], x] (* Wesley Ivan Hurt, Jun 15 2014 *)

Crossrefs

Sequence in context: A337824 A114606 A276114 * A042571 A041797 A041289

Adjacent sequences: A022114 A022115 A022116 * A022118 A022119 A022120

Keyword

nonn,easy

Author

N. J. A. Sloane, Jun 14 1998

Extensions

More terms from Wesley Ivan Hurt, Jun 15 2014

Status

approved