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A086178 Decimal expansion of 1+2sqrt(2). 8
3, 8, 2, 8, 4, 2, 7, 1, 2, 4, 7, 4, 6, 1, 9, 0, 0, 9, 7, 6, 0, 3, 3, 7, 7, 4, 4, 8, 4, 1, 9, 3, 9, 6, 1, 5, 7, 1, 3, 9, 3, 4, 3, 7, 5, 0, 7, 5, 3, 8, 9, 6, 1, 4, 6, 3, 5, 3, 3, 5, 9, 4, 7, 5, 9, 8, 1, 4, 6, 4, 9, 5, 6, 9, 2, 4, 2, 1, 4, 0, 7, 7, 7, 0, 0, 7, 7, 5, 0, 6, 8, 6, 5, 5, 2, 8, 3, 1, 4, 5, 4, 7 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Onset of 3-cycle in the logistic equation.

REFERENCES

J. Bechhoefer, "The Birth of Period 3, Revisited", Mathematics Magazine pp. 115-8 Vol. 69 No. 2 April 1996

W. B. Gordon, "Period Three Trajectories of the Logistic Map", Mathematics Magazine pp. 118-120 Vol. 69 No. 2 April 1996

P. Saha & S. H. Strogatz, "The Birth of period 3", Mathematics Magazine pp. 42-7 Vol. 68, No. 1, 1995.

LINKS

J. Meiss, Period three saddle-node bifurcation for the Logistic Map

Eric Weisstein's World of Mathematics, Logistic Map

FORMULA

Equals A010466 plus 1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 12 2008]

EXAMPLE

3.8284...

CROSSREFS

Cf. A086179.

Sequence in context: A010627 A103712 A132019 * A016669 A094964 A197144

Adjacent sequences:  A086175 A086176 A086177 * A086179 A086180 A086181

KEYWORD

nonn,cons,easy

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jul 11, 2003

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.