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A057823
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The number q = 0.193072033... is the value of q which gives the maximum of the Dedekind eta function eta(q) := q^(1/12) * product_{n=1..infinity} (1-q^(2n)) for q between 0 and 1.
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0
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1, 9, 3, 0, 7, 2, 0, 3, 3, 9, 5, 7, 4, 1, 0, 9, 7, 8, 9, 2, 2, 9, 4, 1, 6, 8, 5, 4, 2, 1, 2, 6, 2, 2, 5, 4, 5, 7, 0, 5, 0, 7, 7, 6, 0, 9, 7, 8, 7, 0, 4, 7, 2, 1, 6, 0, 9, 8, 0, 8, 9, 8, 9, 0, 7, 7, 7, 4, 6, 8, 4, 0, 5, 6, 7, 8, 7, 4, 9, 2, 5, 7, 0, 2, 8, 9, 6, 3, 9, 2, 7, 9, 3, 3, 6, 0, 8, 8, 0, 2
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| E. Weisstein, Dedekind Eta Function, MathWorld.
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EXAMPLE
| 0.19307203395741097892294168542126225457050776097870...
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MATHEMATICA
| RealDigits[FindRoot[D[q^(1/12)*Product[(1-q^(2 n)), {n, 100}], q] == 0, {q, 0.2}, WorkingPrecision -> 200][[1, 2]]][[1]]
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CROSSREFS
| Sequence in context: A199605 A021522 A154901 * A011461 A198546 A160579
Adjacent sequences: A057820 A057821 A057822 * A057824 A057825 A057826
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KEYWORD
| cons,nonn,easy,nice
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AUTHOR
| Peter L. Walker (peterw(AT)aus.ac.ae), Nov 24 2000
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 19 2004
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