A022118 Fibonacci sequence beginning 2, 17.

2, 17, 19, 36, 55, 91, 146, 237, 383, 620, 1003, 1623, 2626, 4249, 6875, 11124, 17999, 29123, 47122, 76245, 123367, 199612, 322979, 522591, 845570, 1368161, 2213731, 3581892, 5795623, 9377515, 15173138, 24550653, 39723791, 64274444, 103998235, 168272679

Offset: 0

Author

N. J. A. Sloane, Jun 14 1998

Keywords

• nonn
• easy

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).

Programs

Mathematica

a={};b=2;c=17;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 *)
CoefficientList[Series[(2 + 15 x)/(1 - x - x^2), {x, 0, 40}], x] (* Wesley Ivan Hurt, Jun 15 2014 *)

Formula

G.f.: (2+15*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

Extensions

More terms from Wesley Ivan Hurt, Jun 15 2014