A022139 Fibonacci sequence beginning 5, 14.

5, 14, 19, 33, 52, 85, 137, 222, 359, 581, 940, 1521, 2461, 3982, 6443, 10425, 16868, 27293, 44161, 71454, 115615, 187069, 302684, 489753, 792437, 1282190, 2074627, 3356817, 5431444, 8788261, 14219705, 23007966, 37227671, 60235637, 97463308, 157698945

Offset

0,1

Links

Table of n, a(n) for n=0..35.

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (1,1).

Formula

G.f.: (5+9x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(0)=5, a(1)=14, a(n)=a(n-1)+a(n-2). - Harvey P. Dale, Apr 15 2015

a(n) = Fibonacci(n+6) - Lucas(n-2). - Greg Dresden and Tyler Zidlicky, Mar 01 2022

Mathematica

Transpose[NestList[{#[[2]], #[[1]]+#[[2]]}&, {5, 14}, 30]][[1]]  (* Harvey P. Dale, Feb 07 2011 *)
LinearRecurrence[{1, 1}, {5, 14}, 40](* Harvey P. Dale, Apr 15 2015 *)

Crossrefs

Cf. A000032, A000045.

Sequence in context: A071852 A275809 A227793 * A277351 A143707 A306989

Adjacent sequences: A022136 A022137 A022138 * A022140 A022141 A022142

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved