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

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...

Crossrefs

Cf. A086181.

Sequence in context: A203802 A306554 A078064 * A356376 A356380 A106117

Adjacent sequences: A091514 A091515 A091516 * A091518 A091519 A091520

Keyword

nonn,cons

Author

Eric W. Weisstein, Jan 17 2004

Extensions

More terms from Pab Ter (pabrlos(AT)yahoo.com), May 25 2004

Status

approved