Svoboda | Graniru | BBC Russia | Golosameriki | Facebook
login
A086181
Decimal expansion of the bifurcation point B_3, the onset of an 8-cycle in the logistic equation.
14
3, 5, 4, 4, 0, 9, 0, 3, 5, 9, 5, 5, 1, 9, 2, 2, 8, 5, 3, 6, 1, 5, 9, 6, 5, 9, 8, 6, 6, 0, 4, 8, 0, 4, 5, 4, 0, 5, 8, 3, 0, 9, 9, 8, 4, 5, 4, 4, 4, 5, 7, 3, 6, 7, 5, 4, 5, 7, 8, 1, 2, 5, 3, 0, 3, 0, 5, 8, 4, 2, 9, 4, 2, 8, 5, 8, 8, 6, 3, 0, 1, 2, 2, 5, 6, 2, 5, 8, 5, 6, 6, 4, 2, 4, 8, 9, 1, 7, 9, 9, 9, 6
OFFSET
1,1
LINKS
D. H. Bailey, J. M. Borwein, V. Kapoor and E. Weisstein, Ten Problems in Experimental Mathematics
Eric Weisstein's World of Mathematics, Logistic Map
FORMULA
A root of the 12th-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
3.54409035955192285361596598660480454058309984544457367545781253030584294285\
886301225625856642489179996260899277589974545704537650729751905223146817\
637447928464560949852755537179889159077448053517459045482470711286876373\
464332114219211465412771169565934544669549411924727100000409480552542925\
972401110012866875143607064166969339310061199923409664597323422476443639\
154794410718331803802488512620422107565464513898750258677417630190446728\
9425746174098070947285556077554761795271607917999664978793818256939...
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]]
CROSSREFS
Cf. A091517.
Sequence in context: A243296 A081361 A195132 * A000655 A130532 A019707
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jul 11 2003
EXTENSIONS
More terms from N. J. A. Sloane, Mar 18 2007
STATUS
approved