A086179 Decimal expansion of upper bound for the r-values supporting stable period-3 orbits in the logistic equation.

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

Offset

1,1

Links

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

Eric Weisstein's World of Mathematics, Logistic Map

Index entries for algebraic numbers, degree 6.

Example

3.84149900754...

Mathematica

RealDigits[Root[ -81-36*#1-14*#1^2+24*#1^3+4*#1^4-6*#1^5+#1^6&, 2], 10, 110][[1]]

Prog

(PARI) polrootsreal(x^6-6*x^5+4*x^4+24*x^3-14*x^2-36*x-81)[2] \\ Charles R Greathouse IV, Feb 03 2025

Crossrefs

Cf. A086178.

Sequence in context: A278957 A118582 A356580 * A185453 A021967 A093524

Adjacent sequences: A086176 A086177 A086178 * A086180 A086181 A086182

Keyword

nonn,cons,changed

Author

Eric W. Weisstein, Jul 11 2003

Status

approved