A022352 Fibonacci sequence beginning 0, 18.

0, 18, 18, 36, 54, 90, 144, 234, 378, 612, 990, 1602, 2592, 4194, 6786, 10980, 17766, 28746, 46512, 75258, 121770, 197028, 318798, 515826, 834624, 1350450, 2185074, 3535524, 5720598, 9256122, 14976720

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

a(n) = 9*(Lucas(n) - Fibonacci(n)). - Harvey P. Dale, Oct 09 2013

Mathematica

a={}; b=0; c=18; 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 *)
LinearRecurrence[{1, 1}, {0, 18}, 40] (* or *) Table[9(LucasL[n]- Fibonacci[n]), {n, 40}] (* Harvey P. Dale, Oct 09 2013 *)

Prog

(PARI) for(n=0, 50, print1(18*fibonacci(n), ", ")) \\ G. C. Greubel, Aug 26 2017

Crossrefs

Cf. A258160.

Cf. sequences with formula Fibonacci(n+k)+Fibonacci(n-k) listed in A280154.

Sequence in context: A158910 A243097 A040307 * A211411 A298378 A299245

Adjacent sequences: A022349 A022350 A022351 * A022353 A022354 A022355

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved