A086179 - OEIS

%I #11 Feb 16 2025 08:32:50

%S 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,

%T 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,

%U 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

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

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LogisticMap.html">Logistic Map</a>

%H <a href="/index/Al#algebraic_06">Index entries for algebraic numbers, degree 6</a>.

%e 3.84149900754...

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

%o (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

%Y Cf. A086178.

%K nonn,cons,changed

%O 1,1

%A _Eric W. Weisstein_, Jul 11 2003