A022370 Fibonacci sequence beginning 2, 16.

2, 16, 18, 34, 52, 86, 138, 224, 362, 586, 948, 1534, 2482, 4016, 6498, 10514, 17012, 27526, 44538, 72064, 116602, 188666, 305268, 493934, 799202, 1293136, 2092338, 3385474, 5477812, 8863286, 14341098

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+14*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

a(n) = 2*(Fibonacci(n+2) + 6*Fibonacci(n)). - G. C. Greubel, Aug 27 2017

a(n) = 2 * A022098(n). - Alois P. Heinz, Aug 27 2017

Mathematica

a={}; b=2; c=16; 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, 16}, 40] (* Harvey P. Dale, Aug 11 2011 *)

Prog

(PARI) for(n=0, 50, print1(2*(fibonacci(n+2) + 6*fibonacci(n)), ", ")) \\ G. C. Greubel, Aug 27 2017

Crossrefs

Cf. A022098.

Sequence in context: A180923 A058242 A101075 * A161802 A323193 A050850

Adjacent sequences: A022367 A022368 A022369 * A022371 A022372 A022373

Keyword

nonn

Author

N. J. A. Sloane

Status

approved