A022142 Fibonacci sequence beginning 5, 18.

5, 18, 23, 41, 64, 105, 169, 274, 443, 717, 1160, 1877, 3037, 4914, 7951, 12865, 20816, 33681, 54497, 88178, 142675, 230853, 373528, 604381, 977909, 1582290, 2560199, 4142489, 6702688, 10845177, 17547865, 28393042, 45940907, 74333949, 120274856, 194608805

Offset

0,1

Links

Vincenzo Librandi, 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.: (5+13*x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(n) = a(n-1) + a(n-2). - Wesley Ivan Hurt, Oct 02 2021

Mathematica

a={}; b=5; 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}, {5, 18}, 40] (* Harvey P. Dale, Jul 19 2014 *)
CoefficientList[Series[(5 + 13 x)/(1 - x - x^2), {x, 0, 50}], x] (* Vincenzo Librandi, Jul 23 2014 *)

Crossrefs

Cf. A000045.

Sequence in context: A260080 A178365 A345912 * A078648 A364607 A035338

Adjacent sequences: A022139 A022140 A022141 * A022143 A022144 A022145

Keyword

nonn

Author

N. J. A. Sloane

Status

approved