A097078 Decimal expansion of positive real number x such that Dedekind eta(sqrt(-1)*x) is maximized.

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

Offset

0,1

Comments

A097079 gives the maximum itself. (A097078, A097079) are the coordinates of the maximum on the first graph on the linked World of Mathematics page.

Links

Stanislav Sykora, Table of n, a(n) for n = 0..2000

S. Sykora, PARI/GP scripts for optimization tasks

Eric Weisstein's World of Mathematics, Dedekind Eta Function

Wikipedia, Dedekind eta function

Example

0.523521700017999266800534404806109741017213984885315727177796576626840915211966...

Mathematica

FindMinimum[ 1 / DedekindEta[x*I], {x, .5235}, AccuracyGoal -> 100, MaxIterations -> 1000, WorkingPrecision -> 100] (* Ed Pegg Jr, Jul 29 2004 *)

Prog

(PARI) See the link

Crossrefs

Cf. A097079 (eta(A097078*i)).

Sequence in context: A307603 A234593 A262429 * A302715 A237200 A021195

Adjacent sequences: A097075 A097076 A097077 * A097079 A097080 A097081

Keyword

cons,nonn

Author

Rick L. Shepherd, Jul 24 2004

Extensions

Edited by Robert G. Wilson v and Vladeta Jovovic, Jul 28 2004

Status

approved