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Search: id:A084233
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| A084233 |
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Decimal expansion of area under the curve Zeta(1/2 + t*I) from zero to its first nontrivial zero (A058303). |
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+0
1
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| 1, 3, 8, 3, 2, 8, 5, 3, 0, 4, 2
(list; cons; graph; listen)
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OFFSET
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2,2
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
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EXAMPLE
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Area =~ 13.832853042
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MATHEMATICA
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NIntegrate[ Re[ Zeta[1/2 + t*I ]], {t, 0, Re[ FindRoot[ Zeta[1/2 + t*I], {t, 14 + {-.3, +.3}}] [[1, 2]]]}, AccuracyGoal -> 120, WorkingPrecision -> 150 ]
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CROSSREFS
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Cf. A058303.
Adjacent sequences: A084230 A084231 A084232 this_sequence A084234 A084235 A084236
Sequence in context: A021727 A021265 A115369 this_sequence A015136 A117240 A010706
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KEYWORD
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more,nonn,cons
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), May 11 2003
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