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A082633 Decimal expansion of limit y-->infinity y*(Im(zeta(1+i/y))+y). 18
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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

REFERENCES

D. Andrica and E. J. Ionascu, On the number of polynomials with coefficients in [n], An. St. Univ. Ovidius Constanta, 2013, to appear.

S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 166.

LINKS

Table of n, a(n) for n=0..101.

Eric Weisstein's World of Mathematics, Stieltjes Constants

Wikipedia, Stieltjes constants

FORMULA

limit y-->infinity y*(Im(zeta(1+i/y))+y)=0.0728158454836767248605863758749...

EXAMPLE

-0.0728158454836767248...

MAPLE

evalf(gamma(1)) ; # R. J. Mathar, Sep 15 2013

MATHEMATICA

Prepend[RealDigits[c=N[StieltjesGamma[1], 120], 10][[1]], 0]

CROSSREFS

Cf. A001620, 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

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, May 24 2003

EXTENSIONS

More terms from Eric W. Weisstein, Jul 14 2003

STATUS

approved

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Last modified September 22 20:55 EDT 2014. Contains 247086 sequences.