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A086724
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Decimal expansion of g(1)-g(2)+g(4)-g(5), where g(k) = sum(1/(6*m+k)^2,m=0..infinity).
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5
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7, 8, 1, 3, 0, 2, 4, 1, 2, 8, 9, 6, 4, 8, 6, 2, 9, 6, 8, 6, 7, 1, 8, 7, 4, 2, 9, 6, 2, 4, 0, 9, 2, 3, 5, 6, 3, 6, 5, 1, 3, 4, 3, 3, 6, 5, 4, 5, 2, 8, 5, 4, 2, 0, 2, 2, 2, 1, 0, 0, 0, 6, 2, 9, 6, 6, 8, 8, 6, 9, 8, 4, 6, 5, 1, 6, 1, 8, 2, 1, 8, 0, 9, 2, 8, 6, 9, 5, 7, 0, 8, 3, 2, 2, 0, 9, 8, 6, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| This number is L(2, chi3), where L(s, chi3) is the Dirichlet L-function for the non-principal character modulo 3. - Stuart Clary (clary(AT)uakron.edu), Dec 17, 2008
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REFERENCES
| L. Fejes Toth, Lagerungen in der Ebene, auf der Kugel und im Raum, 2nd. ed., Springer-Verlag, Berlin, Heidelberg 1972; see p. 213.
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EXAMPLE
| .781302412896486296867...
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MATHEMATICA
| nmax = 1000; First[ RealDigits[(Zeta[2, 1/3] - Zeta[2, 2/3])/9, 10, nmax] ] - Stuart Clary (clary(AT)uakron.edu), Dec 17, 2008
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CROSSREFS
| Cf. A086722-A086731.
Cf. A153066, A153067, A153068. - Stuart Clary (clary(AT)uakron.edu), Dec 17, 2008
Sequence in context: A073004 A021132 A019936 * A093720 A154216 A171274
Adjacent sequences: A086721 A086722 A086723 * A086725 A086726 A086727
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KEYWORD
| nonn,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jul 31 2003
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