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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Tanya Khovanova, Recursive Sequences
• Index entries for linear recurrences with constant coefficients, signature (1, 1).

Crossrefs

Cf. A000032.

Programs

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 *)

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