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

Author

Eric W. Weisstein, Jul 11 2003

Keywords

• nonn
• cons

Examples

			3.84149900754...
		

Links

• Eric Weisstein's World of Mathematics, Logistic Map
• Index entries for algebraic numbers, degree 6.

Crossrefs

Cf. A086178.

Programs

Mathematica

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

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