A022367 Fibonacci sequence beginning 2, 10.

2, 10, 12, 22, 34, 56, 90, 146, 236, 382, 618, 1000, 1618, 2618, 4236, 6854, 11090, 17944, 29034, 46978, 76012, 122990, 199002, 321992, 520994, 842986, 1363980, 2206966, 3570946, 5777912, 9348858, 15126770, 24475628, 39602398, 64078026, 103680424, 167758450, 271438874

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Tanya Khovanova, Recursive Sequences
• Index entries for linear recurrences with constant coefficients, signature (1,1).

Crossrefs

Cf. A000045, A022095, A147316.

Programs

Mathematica

LinearRecurrence[{1,1},{2,10},40] (* Harvey P. Dale, Jun 17 2014 *)

PARI

for(n=0,50, print1(2*(fibonacci(n+2) + 3*fibonacci(n)), ", ")) \\ G. C. Greubel, Aug 27 2017

Formula

From R. J. Mathar, Mar 11 2011: (Start)

a(n) = 2*A022095(n).

G.f.: 2*(1+4*x)/(1-x-x^2). (End)

a(n) = A147316(n-4) + A000045(n+5). - Giuseppe Coppoletta, Jul 27 2017

a(n) = 11*F(n) + F(n-3). - J. M. Bergot, Jul 19 2017

Extensions

More terms from Michel Marcus, Jul 05 2017