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A022091 Fibonacci sequence beginning 0, 8. 6
0, 8, 8, 16, 24, 40, 64, 104, 168, 272, 440, 712, 1152, 1864, 3016, 4880, 7896, 12776, 20672, 33448, 54120, 87568, 141688, 229256, 370944, 600200, 971144, 1571344, 2542488, 4113832, 6656320, 10770152, 17426472, 28196624, 45623096, 73819720, 119442816 (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( (16phi-8)/5 phi^n) (works for n>4). - Thomas Baruchel, Sep 08 2004

a(n) = 8*F(n) = F(n+4) + F(n) + F(n-4) for n>3, where F=A000045.

G.f.: 8*x/(1-x-x^2). - Philippe Deléham, Nov 20 2008

MATHEMATICA

a={}; b=0; c=8; 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, A000045, A258160.

Sequence in context: A186986 A112439 A245420 * A171188 A145909 A168409

Adjacent sequences:  A022088 A022089 A022090 * A022092 A022093 A022094

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 20 16:53 EDT 2017. Contains 289628 sequences.