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A249385
Decimal expansion of gamma - 2*Ei(-1), one of the Tauberian constants, where Ei is the exponential integral function.
2
1, 0, 1, 5, 9, 8, 3, 5, 3, 3, 6, 9, 2, 5, 7, 3, 4, 0, 7, 9, 6, 0, 8, 3, 9, 6, 4, 1, 0, 0, 2, 6, 4, 5, 7, 2, 9, 1, 0, 4, 2, 5, 3, 9, 2, 2, 7, 5, 3, 7, 4, 0, 0, 1, 3, 9, 6, 1, 7, 2, 4, 4, 6, 1, 0, 3, 2, 0, 0, 5, 1, 2, 3, 8, 9, 5, 9, 4, 7, 7, 6, 0, 3, 8, 1, 3, 6, 7, 5, 6, 5, 3, 6, 2, 0, 2, 1, 2, 4, 9, 4, 2, 4
OFFSET
1,4
LINKS
Steven R. Finch, Tauberian Constants, August 30, 2004 [Cached copy, with permission of the author]
Eric Weisstein's MathWorld, Exponential Integral
FORMULA
Also equals gamma + 2*G/e, where G is the Euler-Gompertz constant 0.596347...
Equals A001620 + 2*A073003/e. - G. C. Greubel, Sep 04 2018
EXAMPLE
1.01598353369257340796083964100264572910425392275374...
MAPLE
evalf(gamma - 2*Ei(-1), 120); # Vaclav Kotesovec, Oct 27 2014
MATHEMATICA
RealDigits[ EulerGamma - 2*ExpIntegralEi[-1], 10, 103] // First
PROG
(PARI) default(realprecision, 100); Euler + 2*eint1(1) \\ G. C. Greubel, Sep 04 2018
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved