A022373 Fibonacci sequence beginning 2, 22.

2, 22, 24, 46, 70, 116, 186, 302, 488, 790, 1278, 2068, 3346, 5414, 8760, 14174, 22934, 37108, 60042, 97150, 157192, 254342, 411534, 665876, 1077410, 1743286, 2820696, 4563982, 7384678, 11948660, 19333338, 31281998, 50615336, 81897334, 132512670, 214410004, 346922674, 561332678

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• G. C. Greubel, 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=22;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 18 2008 *)
LinearRecurrence[{1,1},{2,22},30] (* Harvey P. Dale, Jan 06 2013 *)

PARI

x='x+O('x^50); Vec((2+20*x)/(1-x-x^2)) \\ G. C. Greubel, Oct 04 2017

Formula

G.f.: (2+20x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

Extensions

Terms a(30) onward added by G. C. Greubel, Oct 04 2017