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A022142 Fibonacci sequence beginning 5, 18. 1
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 (list; graph; refs; listen; history; text; internal format)
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). [From Philippe Deléham, Nov 20 2008]

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

Sequence in context: A180135 A260080 A178365 * A078648 A035338 A055371

Adjacent sequences:  A022139 A022140 A022141 * A022143 A022144 A022145

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 6 08:53 EST 2016. Contains 278775 sequences.