A022137 Fibonacci sequence beginning 5, 12.

5, 12, 17, 29, 46, 75, 121, 196, 317, 513, 830, 1343, 2173, 3516, 5689, 9205, 14894, 24099, 38993, 63092, 102085, 165177, 267262, 432439, 699701, 1132140, 1831841, 2963981, 4795822, 7759803, 12555625, 20315428, 32871053, 53186481, 86057534, 139244015

Offset

0,1

Links

Table of n, a(n) for n=0..35.

Tanya Khovanova, Recursive Sequences

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

Formula

G.f.: (5+7*x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(n) = Lucas(n + 4) - Fibonacci(n - 3). - Ehren Metcalfe, Oct 16 2017

Mathematica

a={}; b=5; c=12; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 4!}]; a (* Vladimir Joseph Stephan Orlovsky, Sep 17 2008 *)

Crossrefs

Cf. A000032.

Sequence in context: A246810 A063297 A237669 * A271121 A271301 A282696

Adjacent sequences: A022134 A022135 A022136 * A022138 A022139 A022140

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved