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A073002
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Decimal expansion of the negative of Zeta'(2) (the first derivative of the Zeta function at 2).
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4
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9, 3, 7, 5, 4, 8, 2, 5, 4, 3, 1, 5, 8, 4, 3, 7, 5, 3, 7, 0, 2, 5, 7, 4, 0, 9, 4, 5, 6, 7, 8, 6, 4, 9, 7, 7, 8, 9, 7, 8, 6, 0, 2, 8, 8, 6, 1, 4, 8, 2, 9, 9, 2, 5, 8, 8, 5, 4, 3, 3, 4, 8, 0, 3, 6, 0, 4, 4, 3, 8, 1, 1, 3, 1, 2, 7, 0, 7, 5, 2, 2, 7, 9, 3, 6, 8, 9, 4, 1, 5, 1, 4, 1, 1, 5, 1, 5, 1, 7, 4, 9, 3, 1, 1, 3
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| C. F. Gauss, Disquisitiones Arithmeticae, Yale, 1965; see p. 359. [From N. J. A. Sloane, Feb 19 2011]
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LINKS
| Simon Plouffe, Zeta(1,2) the derivative of Zeta function at 2
Eric Weisstein's World of Mathematics, Riemann Zeta Function
Eric Weisstein's World of Mathematics, Glaisher-Kinkelin Constant
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FORMULA
| Sum_{n >= 1} log n / n^2 [From N. J. A. Sloane, Feb 19 2011]
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EXAMPLE
| Zeta'(2) = -0.93754825431584375370257409456786497789786028861482...
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MAPLE
| Zeta(1, 2); evalf(%); # R. J. Mathar, Oct 10 2011
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MATHEMATICA
| (* first do *) Needs["NumericalMath`NLimit`"], (* then *) RealDigits[ N[ ND[ Zeta[z], z, 2, WorkingPrecision -> 200, Scale -> 10^-20, Terms -> 20], 111]][[1]] (* from Eric W. Weisstein, May 20 2004 *)
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CROSSREFS
| Sequence in context: A011229 A068353 A136251 * A197836 A011282 A196823
Adjacent sequences: A072999 A073000 A073001 * A073003 A073004 A073005
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KEYWORD
| cons,nonn,changed
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2002
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EXTENSIONS
| Definition corrected by N. J. A. Sloane, Feb 19 2011
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