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A082633 Decimal expansion of the 1st Stieltjes constant gamma_1 (negated). 37
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

REFERENCES

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

LINKS

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

D. Andrica and E. J. Ionascu, On the number of polynomials with coefficients in [n], An. St. Univ. Ovidius Constanta, Volume XXII (2014) fascicola 1.

Eric Weisstein's World of Mathematics, Stieltjes Constants

Wikipedia, Stieltjes constants

FORMULA

Equals lim_{y->infinity} y*(Im(zeta(1+i/y))+y).

Equals lim_{n->infinity} (((log(n))^2)/2 - sum((log(k))/k, k=2..n)). - Warut Roonguthai, Aug 04 2005

Also equals integral_[0..infinity] (coth(Pi*x)-1)*(x*log(1+x^2)-2*arctan(x))/(2*(1+x^2)) dx. - Jean-Fran├žois Alcover, Jan 28 2015

EXAMPLE

-0.0728158454836767248605863758749...

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: A253383 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 February 9 21:06 EST 2016. Contains 268138 sequences.