A022369 Fibonacci sequence beginning 2, 14.

2, 14, 16, 30, 46, 76, 122, 198, 320, 518, 838, 1356, 2194, 3550, 5744, 9294, 15038, 24332, 39370, 63702, 103072, 166774, 269846, 436620, 706466, 1143086, 1849552, 2992638, 4842190, 7834828, 12677018

Offset

0,1

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).

Formula

G.f.: (2+12*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

a(n) = 2*(Fibonacci(n+2) + 5*Fibonacci(n)). - G. C. Greubel, Aug 27 2017

a(n) = 2 * A022097(n). - Alois P. Heinz, Aug 27 2017

Mathematica

a={}; b=2; c=14; 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 *)
Transpose[NestList[{Last[#], Total[#]}&, {2, 14}, 40]][[1]]  (* Harvey P. Dale, Apre 13 2011 *)
LinearRecurrence[{1, 1}, {2, 14}, 40] (* Harvey P. Dale, Oct 05 2019 *)

Prog

(PARI) for(n=0, 50, print1(2*(Fibonacci(n+2) + 5*Fibonacci(n)), ", ")) \\ G. C. Greubel, Aug 27 2017

Crossrefs

Cf. A022097.

Sequence in context: A121716 A194379 A147832 * A367461 A278975 A096508

Adjacent sequences: A022366 A022367 A022368 * A022370 A022371 A022372

Keyword

nonn

Author

N. J. A. Sloane

Status

approved