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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 (list; constant; graph; refs; listen; history; text; internal format)
 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: A031285 A234593 A262429 * A237200 A021195 A019673 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

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