A022359 Fibonacci sequence beginning 0, 25.

0, 25, 25, 50, 75, 125, 200, 325, 525, 850, 1375, 2225, 3600, 5825, 9425, 15250, 24675, 39925, 64600, 104525, 169125, 273650, 442775, 716425, 1159200, 1875625, 3034825, 4910450, 7945275, 12855725, 20801000, 33656725, 54457725, 88114450, 142572175, 230686625

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

a{n) = (-25/2)*(Fibonacci(n) - Lucas(n)). - Harvey P. Dale, Nov 22 2012

a(n) = Lucas(n+5) + Lucas(n-5), with Lucas(-i) = (-1)^i*Lucas(i) for the negative indices. - Bruno Berselli, Dec 27 2016

Mathematica

LinearRecurrence[{1, 1}, {0, 25}, 30] (* or *) Table[(-25/2)(Fibonacci[n] - LucasL[n]), {n, 50}] (* Harvey P. Dale, Nov 22 2012 *)

Prog

(Magma) [Lucas(n+5)+Lucas(n-5): n in [0..40]]; // Bruno Berselli, Dec 27 2016
(PARI) for(n=0, 50, print1(25*fibonacci(n), ", ")) \\ G. C. Greubel, Aug 26 2017

Crossrefs

Sequence in context: A090092 A323522 A040601 * A147491 A147507 A146865

Adjacent sequences: A022356 A022357 A022358 * A022360 A022361 A022362

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved