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

0,1

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).

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

Mathematica

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

Prog

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

Crossrefs

Cf. A000045, A022095, A147316.

Sequence in context: A166938 A093325 A001363 * A004686 A080139 A055701

Adjacent sequences: A022364 A022365 A022366 * A022368 A022369 A022370

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Michel Marcus, Jul 05 2017

Status

approved