editing
approved
editing
approved
Eric W. Weisstein, Jul 11, 2003
approved
editing
editing
approved
A root of the 1212th-th degree polynomial 4913 + 2108*X^2 - 604*X^3 - 977*X^4 + 8*X^5 + 44*X^6 + 392*X^7 - 193*X^8 - 40*X^9 + 48*X^10 - 12*X^11 + X^12.
approved
editing
_Eric W. Weisstein (eric(AT)weisstein.com), _, Jul 11, 2003
More terms from _N. J. A. Sloane (njas(AT)research.att.com), _, Mar 18 2007
nonn,cons,new
More terms from N. J. A. Sloane (njas, (AT)research.att.com), Mar 18 2007
nonn,cons,new
Eric W. Weisstein (eric(AT)weisstein.com), Jul 11, 2003
Decimal expansion of the bifurcation point B_3, the onset of an 8-cycle in the logistic equation.
Also called the bifurcation point B_3.
Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LogisticMap.html">Logistic Map</a>
Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LogisticMap.html">Logistic Map</a>
A root of the 12-th degree polynomial 4913 + 2108*X^2 - 604*X^3 - 977*X^4 + 8*X^5 + 44*X^6 + 392*X^7 - 193*X^8 - 40*X^9 + 48*X^10 - 12*X^11 + X^12.
3.5440...54409035955192285361596598660480454058309984544457367545781253030584294285
886301225625856642489179996260899277589974545704537650729751905223146817\
637447928464560949852755537179889159077448053517459045482470711286876373\
464332114219211465412771169565934544669549411924727100000409480552542925\
972401110012866875143607064166969339310061199923409664597323422476443639\
154794410718331803802488512620422107565464513898750258677417630190446728\
9425746174098070947285556077554761795271607917999664978793818256939...
Cf. A091517.
nonn,cons,new
More terms from njas, Mar 18 2007
RealDigits[Root[4913+2108*#1^2-604*#1^3-977*#1^4+8*#1^5+44*#1^6+392*#1^7-193*#1^8-40*#1^9+48*#1^10-12*#1^11+#1^12&, 3], 10, 110][[1]]
nonn,cons,new