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Decimal expansion of the bifurcation point B_3, the onset of an 8-cycle in the logistic equation.
(history; published version)
#12 by Jon E. Schoenfield at Thu Jul 30 22:11:43 EDT 2015
STATUS

editing

approved

#11 by Jon E. Schoenfield at Thu Jul 30 22:11:41 EDT 2015
AUTHOR

Eric W. Weisstein, Jul 11, 2003

STATUS

approved

editing

#10 by Jon E. Schoenfield at Fri Mar 13 23:45:27 EDT 2015
STATUS

editing

approved

#9 by Jon E. Schoenfield at Fri Mar 13 23:45:26 EDT 2015
FORMULA

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.

STATUS

approved

editing

#8 by Russ Cox at Sat Mar 31 12:39:01 EDT 2012
AUTHOR

_Eric W. Weisstein (eric(AT)weisstein.com), _, Jul 11, 2003

Discussion
Sat Mar 31
12:39
OEIS Server: https://oeis.org/edit/global/877
#7 by Russ Cox at Fri Mar 30 16:49:46 EDT 2012
EXTENSIONS

More terms from _N. J. A. Sloane (njas(AT)research.att.com), _, Mar 18 2007

Discussion
Fri Mar 30
16:49
OEIS Server: https://oeis.org/edit/global/110
#6 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
KEYWORD

nonn,cons,new

EXTENSIONS

More terms from N. J. A. Sloane (njas, (AT)research.att.com), Mar 18 2007

#5 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008
KEYWORD

nonn,cons,new

AUTHOR

Eric W. Weisstein (eric(AT)weisstein.com), Jul 11, 2003

#4 by N. J. A. Sloane at Fri May 11 03:00:00 EDT 2007
NAME

Decimal expansion of the bifurcation point B_3, the onset of an 8-cycle in the logistic equation.

COMMENTS

Also called the bifurcation point B_3.

LINKS

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>

FORMULA

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.

EXAMPLE

3.5440...54409035955192285361596598660480454058309984544457367545781253030584294285\

886301225625856642489179996260899277589974545704537650729751905223146817\

637447928464560949852755537179889159077448053517459045482470711286876373\

464332114219211465412771169565934544669549411924727100000409480552542925\

972401110012866875143607064166969339310061199923409664597323422476443639\

154794410718331803802488512620422107565464513898750258677417630190446728\

9425746174098070947285556077554761795271607917999664978793818256939...

CROSSREFS

Cf. A091517.

KEYWORD

nonn,cons,new

EXTENSIONS

More terms from njas, Mar 18 2007

#3 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006
MATHEMATICA

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]]

KEYWORD

nonn,cons,new