The Goh-Schmutz constant is defined by the integrals
 |  |  |
(1)
|
 |  | ![int_0^inftyln[1-ln(1-e^(-t))]dt](/images/equations/Goh-SchmutzConstant/Inline6.svg) |
(2)
|
 |  | ![int_0^infty(te^(-t))/((1-e^(-t))[1-ln(1-e^(-t))])dt](/images/equations/Goh-SchmutzConstant/Inline9.svg) |
(3)
|
and the sum
 |
(4)
|
where 
is the exponential integral. It has numerical
value
 |
(5)
|
(OEIS A143300).
Goh-Schmutz Constant
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References
Finch, S. R. Mathematical Constants. Cambridge, England: Cambridge University Press, p. 287, 2003.Sloane, N. J. A. Sequence A143300 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Goh-Schmutz ConstantCite this as:
Weisstein, Eric W. "Goh-Schmutz Constant." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Goh-SchmutzConstant.html