A086181 - OEIS

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..102.

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\