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A261830
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Decimal expansion of Integral_{0..1/2} log(gamma(x+1)) dx (negated).
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0
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0, 4, 2, 8, 5, 3, 7, 4, 0, 6, 5, 0, 2, 9, 0, 9, 4, 4, 5, 5, 6, 6, 2, 3, 0, 4, 0, 5, 5, 6, 1, 9, 9, 1, 9, 0, 2, 9, 7, 4, 7, 5, 9, 3, 2, 1, 2, 3, 4, 4, 3, 8, 8, 0, 7, 4, 0, 3, 4, 2, 4, 4, 2, 0, 3, 1, 4, 9, 9, 1, 4, 7, 7, 7, 0, 0, 8, 8, 6, 7, 9, 6, 3, 3, 1, 8, 3, 3, 3, 5, 6, 3, 9, 6, 5, 3, 2, 2, 3, 6, 3, 3, 3
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OFFSET
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0,2
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.15 Glaisher-Kinkelin constant, p. 135.
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LINKS
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FORMULA
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-1/2-(7/24)*log(2)+(1/4)*log(Pi)+(3/2)*log(A), where A is the Glaisher-Kinkelin constant 1.282427... (A074962).
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EXAMPLE
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-0.042853740650290944556623040556199190297475932123443880740342442...
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MATHEMATICA
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Join[{0}, RealDigits[-1/2 - (7/24)*Log[2] + (1/4)*Log[Pi] + (3/2) * Log[Glaisher], 10, 102] // First]
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PROG
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(PARI) -intnum(x=1, 3/2, lngamma(x)) \\ _Charles R Greathouse IV_, Apr 18 2016
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CROSSREFS
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KEYWORD
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AUTHOR
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_Jean-François Alcover_, Sep 02 2015
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STATUS
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approved
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