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A082633
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Decimal expansion of limit y-->infinity y*(Im(zeta(1+i/y))+y).
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10
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0, 7, 2, 8, 1, 5, 8, 4, 5, 4, 8, 3, 6, 7, 6, 7, 2, 4, 8, 6, 0, 5, 8, 6, 3, 7, 5, 8, 7, 4, 9, 0, 1, 3, 1, 9, 1, 3, 7, 7, 3, 6, 3, 3, 8, 3, 3, 4, 3, 3, 7, 9, 5, 2, 5, 9, 9, 0, 0, 6, 5, 5, 9, 7, 4, 1, 4, 0, 1, 4, 3, 3, 5, 7, 1, 5, 1, 1, 4, 8, 4, 8, 7, 8, 0, 8, 6, 9, 2, 8, 2, 4, 4, 8, 4, 4, 0, 1, 4, 6, 0, 4
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OFFSET
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0,2
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COMMENTS
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First Stieltjes constant (negated).
Another limit that is equal to the negated first Stieltjes constant: limit n --> infinity {((ln(n))^2)/2 - sum((ln(k))/k, k=2..n)}. - Warut Roonguthai, Aug 04 2005
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LINKS
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Table of n, a(n) for n=0..101.
Eric Weisstein's World of Mathematics, Stieltjes Constants
Wikipedia, Stieltjes constants
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FORMULA
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limit y-->infinity y*(Im(zeta(1+i/y))+y)=0.0728158454836767248605863758749...
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EXAMPLE
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-0.0728158454836767248...
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MATHEMATICA
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Prepend[RealDigits[c=N[StieltjesGamma[1], 120], 10][[1]], 0]
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CROSSREFS
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Cf. A086279, A086280, A086281, A086282, A183141, A183167, A183206, A184853, A184854.
Sequence in context: A217172 A010506 A197845 * A121239 A201322 A093753
Adjacent sequences: A082630 A082631 A082632 * A082634 A082635 A082636
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KEYWORD
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cons,nonn
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AUTHOR
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Benoit Cloitre, May 24 2003
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EXTENSIONS
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More terms from Eric W. Weisstein, Jul 14, 2003
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STATUS
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approved
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