A022349 Fibonacci sequence beginning 0, 15.

0, 15, 15, 30, 45, 75, 120, 195, 315, 510, 825, 1335, 2160, 3495, 5655, 9150, 14805, 23955, 38760, 62715, 101475, 164190, 265665, 429855, 695520, 1125375, 1820895, 2946270, 4767165, 7713435, 12480600, 20194035, 32674635, 52868670, 85543305, 138411975, 223955280, 362367255, 586322535, 948689790, 1535012325

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

From Bruno Berselli, Jul 27 2017: (Start)

a(n) = 15*A000045(n).

a(n) = Lucas(n+4) - Lucas(n-4), where Lucas(i) for i = 0..3 gives 7, -4, 3, -1. (End)

Mathematica

Table[15 Fibonacci[n], {n, 0, 40}] (* or *) LinearRecurrence[{1, 1}, {0, 15}, 40] (* Bruno Berselli, Jul 27 2017 *)

Prog

(Magma) a0:=0; a1:=15; [GeneralizedFibonacciNumber(a0, a1, n): n in [0..40]]; // Bruno Berselli, Jul 27 2017
(PARI) for(n=0, 50, print1(15*fibonacci(n), ", ")) \\ G. C. Greubel, Aug 26 2017

Crossrefs

Cf. A000032, A000045.

Sequence in context: A040211 A003891 A298044 * A036379 A070920 A056484

Adjacent sequences: A022346 A022347 A022348 * A022350 A022351 A022352

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved