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A097078 Decimal expansion of positive real number x such that Dedekind eta(sqrt(-1)*x) is maximized. +0
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; cons; graph; listen)
OFFSET

0,1

COMMENT

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

.52352170001799926680053440480610974101721398488531572717779657662684091521196638559180525641025972...

MATHEMATICA

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

CROSSREFS

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

Adjacent sequences: A097075 A097076 A097077 this_sequence A097079 A097080 A097081

Sequence in context: A019812 A071544 A031285 this_sequence A021195 A019673 A090183

KEYWORD

cons,nonn

AUTHOR

Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 24 2004

EXTENSIONS

Edited by Robert G. Wilson v (rgwv(AT)rgwv.com) and Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 28 2004

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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