A022351 Fibonacci sequence beginning 0, 17.

0, 17, 17, 34, 51, 85, 136, 221, 357, 578, 935, 1513, 2448, 3961, 6409, 10370, 16779, 27149, 43928, 71077, 115005, 186082, 301087, 487169, 788256, 1275425, 2063681, 3339106, 5402787, 8741893, 14144680, 22886573, 37031253, 59917826, 96949079, 156866905, 253815984

Offset

0,2

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.: 17*x/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(n) = 17*A000045(n). - G. C. Greubel, Aug 26 2017

E.g.f.: 34*exp(x/2)*sinh(sqrt(5)*x/2)/sqrt(5). - Stefano Spezia, Nov 09 2025

Mathematica

a={}; b=0; c=17; 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 17 2008 *)
Table[17*Fibonacci[n], {n, 0, 50}] (* or *) LinearRecurrence[{1, 1}, {0, 17}, 50] (* G. C. Greubel, Aug 26 2017 *)

Prog

(PARI) a(n) = 17*fibonacci(n); \\ G. C. Greubel, Aug 26 2017

Crossrefs

Cf. A000045.

Sequence in context: A238235 A333152 A040273 * A146873 A146793 A146801

Adjacent sequences: A022348 A022349 A022350 * A022352 A022353 A022354

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved