A086178 Decimal expansion of 1 + 2*sqrt(2).

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

Offset

1,1

Comments

Onset of 3-cycle in the logistic equation.

Links

Table of n, a(n) for n=1..102.

J. Bechhoefer, The Birth of Period 3, Revisited, Mathematics Magazine pp. 115-8 Vol. 69 No. Apr 02 1996

W. B. Gordon, Period Three Trajectories of the Logistic Map, Mathematics Magazine pp. 118-120 Vol. 69 No. Apr 02 1996

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

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

Eric Weisstein's World of Mathematics, Logistic Map

Index entries for algebraic numbers, degree 2

Formula

Equals A010466 plus 1. - R. J. Mathar, Sep 12 2008

Example

3.8284...

Mathematica

RealDigits[1+2Sqrt[2], 10, 120][[1]] (* Harvey P. Dale, Jun 13 2013 *)

Prog

(PARI) 1+2*sqrt(2) \\ Felix Fröhlich, Sep 26 2017

Crossrefs

Cf. A086179.

Sequence in context: A327951 A132019 A182168 * A016669 A094964 A197144

Adjacent sequences: A086175 A086176 A086177 * A086179 A086180 A086181

Keyword

nonn,cons,easy

Author

Eric W. Weisstein, Jul 11 2003

Status

approved