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A022116 Fibonacci sequence beginning 2, 13. 2
2, 13, 15, 28, 43, 71, 114, 185, 299, 484, 783, 1267, 2050, 3317, 5367, 8684, 14051, 22735, 36786, 59521, 96307, 155828, 252135, 407963, 660098, 1068061, 1728159, 2796220, 4524379, 7320599, 11844978, 19165577, 31010555, 50176132, 81186687, 131362819 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Ivan Panchenko, 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.: (2+11*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

MATHEMATICA

a={}; b=2; c=13; 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 *)

CoefficientList[Series[(2 + 11 x)/(1 - x - x^2), {x, 0, 40}], x] (* Wesley Ivan Hurt, Jun 15 2014 *)

LinearRecurrence[{1, 1}, {2, 13}, 50] (* Harvey P. Dale, Jun 20 2017 *)

CROSSREFS

Cf. A000045.

Sequence in context: A032932 A089019 A179164 * A041201 A042155 A042253

Adjacent sequences:  A022113 A022114 A022115 * A022117 A022118 A022119

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jun 14 1998

STATUS

approved

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Last modified August 18 03:15 EDT 2017. Contains 290682 sequences.