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A022114 Fibonacci sequence beginning 2 9. 5
2, 9, 11, 20, 31, 51, 82, 133, 215, 348, 563, 911, 1474, 2385, 3859, 6244, 10103, 16347, 26450, 42797, 69247, 112044, 181291, 293335, 474626, 767961, 1242587, 2010548, 3253135, 5263683, 8516818, 13780501, 22297319, 36077820, 58375139, 94452959, 152828098 (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 to sequences with linear recurrences with constant coefficients, signature (1,1).

FORMULA

G.f.: (2+7*x)/(1-x-x^2). - Wesley Ivan Hurt, Jun 15 2014

MATHEMATICA

a={}; b=2; c=9; 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}, {2, 9}, 40] (* Harvey P. Dale, Jul 16 2012 *)

CoefficientList[Series[(2 + 7 x)/(1 - x - x^2), {x, 0, 40}], x] (* Wesley Ivan Hurt, Jun 15 2014 *)

PROG

(MAGMA) a0:=2; a1:=9; [GeneralizedFibonacciNumber(a0, a1, n): n in [0..40]]; // Bruno Berselli, Feb 12 2013

CROSSREFS

Cf. A000032.

Sequence in context: A043307 A049343 A131140 * A041099 A041581 A042463

Adjacent sequences:  A022111 A022112 A022113 * A022115 A022116 A022117

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jun 14 1998

STATUS

approved

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Last modified November 25 20:23 EST 2014. Contains 250009 sequences.