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A022092 Fibonacci sequence beginning 0, 9. 1
0, 9, 9, 18, 27, 45, 72, 117, 189, 306, 495, 801, 1296, 2097, 3393, 5490, 8883, 14373, 23256, 37629, 60885, 98514, 159399, 257913, 417312, 675225, 1092537, 1767762, 2860299, 4628061, 7488360, 12116421, 19604781, 31721202, 51325983, 83047185, 134373168 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

A. T. Benjamin and J. J. Quinn, Proofs that really count: the art of combinatorial proof, M.A.A. 2003, p. 15.

LINKS

Table of n, a(n) for n=0..36.

Tanya Khovanova, Recursive Sequences

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

FORMULA

a(n) = round( (18phi-9)/5 phi^n) (works for n>4) - Thomas Baruchel, Sep 08 2004

a(n) = 9F(n) = F(n+4) + F(n+1) + F(n-2) + F(n-4), n>3.

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

MATHEMATICA

a={}; b=0; 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 *)

CROSSREFS

Cf. A000032.

Sequence in context: A168419 A242892 A112440 * A245430 A161365 A214831

Adjacent sequences:  A022089 A022090 A022091 * A022093 A022094 A022095

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 24 02:34 EDT 2017. Contains 288697 sequences.