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A097078
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Decimal expansion of positive real number x such that Dedekind eta(sqrt(-1)*x) is maximized.
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3
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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; internal format)
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OFFSET
| 0,1
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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.
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LINKS
| Eric Weisstein's World of Mathematics, Dedekind Eta Function
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EXAMPLE
| .52352170001799926680053440480610974101721398488531572717779657662684091521196638559180525641025972...
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MATHEMATICA
| FindMinimum[ 1 / DedekindEta[x*I], {x, .5235}, AccuracyGoal -> 100, MaxIterations -> 1000, WorkingPrecision -> 100] (from Ed Pegg, Jr. Jul 29 2004)
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CROSSREFS
| Cf. A097079 (eta(A097078*i)).
Sequence in context: A019812 A071544 A031285 * A021195 A019673 A090183
Adjacent sequences: A097075 A097076 A097077 * A097079 A097080 A097081
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KEYWORD
| cons,nonn
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 24 2004
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EXTENSIONS
| Edited by Robert G. Wilson v (rgwv(AT)rgwv.com) and Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 28 2004
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