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A097078
Decimal expansion of positive real number x such that Dedekind eta(sqrt(-1)*x) is maximized.
3
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
Eric Weisstein's World of Mathematics, 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
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