A091517 - OEIS

A091517

Decimal expansion of the value of r corresponding to the onset of the period 16-cycle in the logistic map.

3, 5, 6, 4, 4, 0, 7, 2, 6, 6, 0, 9, 5, 4, 3, 2, 5, 9, 7, 7, 7, 3, 5, 5, 7, 5, 8, 6, 5, 2, 8, 9, 8, 2, 4, 5, 0, 6, 5, 7, 7, 3, 4, 7, 3, 8, 3, 7, 9, 0, 0, 8, 5, 5, 7, 7, 4, 1, 4, 7, 6, 3, 3, 5, 1, 8, 2, 3, 3, 2, 0, 0, 4, 2, 9, 4, 4, 2, 2, 6, 4, 1, 5, 2, 5, 8, 3, 1, 7, 1, 2, 1, 0, 8, 3, 4, 2, 2, 1

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OFFSET

1,1

COMMENTS

Known exactly as a number related to the root of a degree 120 integer polynomial.

LINKS

Table of n, a(n) for n=1..99.

D. H. Bailey and D. J. Broadhurst, Parallel Integer Relation Detection:Techniques and Applications, Mathematics of Computation, 70:1719-1736, 2000.

I. S. Kotsireas and K. Karamanos, Exact computation of the bifurcation point B4 of the logistic map and the Bailey-Broadhurst conjectures, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 14 (2004), 2417-2423. DOI: 10.1142/S0218127404010709.

Eric Weisstein's World of Mathematics, Logistic Map

EXAMPLE

3.5644072660954325977735575865289824...