A086180 Decimal expansion of 1 + sqrt(6).

3, 4, 4, 9, 4, 8, 9, 7, 4, 2, 7, 8, 3, 1, 7, 8, 0, 9, 8, 1, 9, 7, 2, 8, 4, 0, 7, 4, 7, 0, 5, 8, 9, 1, 3, 9, 1, 9, 6, 5, 9, 4, 7, 4, 8, 0, 6, 5, 6, 6, 7, 0, 1, 2, 8, 4, 3, 2, 6, 9, 2, 5, 6, 7, 2, 5, 0, 9, 6, 0, 3, 7, 7, 4, 5, 7, 3, 1, 5, 0, 2, 6, 5, 3, 9, 8, 5, 9, 4, 3, 3, 1, 0, 4, 6, 4, 0, 2, 3, 4, 8, 1

Offset

1,1

Comments

Onset of 4-cycle in the logistic equation.

References

Gian Italo Bischi, Rosa Carini, Laura Gardini, and Paolo Tenti, Sulle orme del caos: comportamenti complessi in modelli matematici semplici. Bruno Mondadori (Milano), 2004. See pp. 83, 92, 95. (In Italian)

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.9, p. 66.

Links

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

Andy Burbanks, Period Doubling: Iteration of the Logistic Map.

Kurt Cogswell, WebDiagram Applet.

Michael Cross, The Period Doubling Route To Chaos.

Blair Fraser, Iterated Maps.

Alan Hood, Logistic Equation.

Pete Kernan, Logistic Map(Cobweb Construction).

Pete Kernan, Logistic Map(Time Series).

Oliver Knill, Attractor of quadratic map.

Daniel Marthaler, Logistic Map.

John McDonald, Iteration versus time for the Logistic map.

Frank Wattenberg, An Applet in a Window--Cobweb Diagrams.

Eric Weisstein's World of Mathematics, Logistic Map.

Index entries for algebraic numbers, degree 2.

Formula

Equals A010464 plus 1. - R. J. Mathar, Sep 12 2008

Minimal polynomial: x^2 - 2*x - 5. - Amiram Eldar, May 18 2026

Example

3.4494897427831780981972840747058913919659474806567...

Mathematica

RealDigits[1+Sqrt[6], 10, 120][[1]] (* Harvey P. Dale, Jul 28 2012 *)

Prog

(PARI) 1+sqrt(6) \\ Stefano Spezia, Nov 17 2024

Crossrefs

Cf. A010464, A086178.

Sequence in context: A392422 A137529 A245258 * A016608 A087328 A368163

Adjacent sequences: A086177 A086178 A086179 * A086181 A086182 A086183

Keyword

nonn,cons,easy

Author

Eric W. Weisstein, Jul 11 2003

Status

approved