A086181 Decimal expansion of the bifurcation point B_3, the onset of an 8-cycle in the logistic equation.

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

Author

Eric W. Weisstein, Jul 11 2003

Keywords

• nonn
• cons

Examples

			3.54409035955192285361596598660480454058309984544457367545781253030584294285\
886301225625856642489179996260899277589974545704537650729751905223146817\
637447928464560949852755537179889159077448053517459045482470711286876373\
464332114219211465412771169565934544669549411924727100000409480552542925\
972401110012866875143607064166969339310061199923409664597323422476443639\
154794410718331803802488512620422107565464513898750258677417630190446728\
9425746174098070947285556077554761795271607917999664978793818256939...
		

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

Crossrefs

Cf. A091517.

Programs

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]]

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.

Extensions

More terms from N. J. A. Sloane, Mar 18 2007