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A327121
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Decimal expansion of Sum_{k>=1} 1/k + exp(k) * Ei(-k), where Ei(x) is the exponential integral of the first kind.
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0
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8, 4, 3, 3, 0, 2, 1, 0, 7, 5, 3, 1, 9, 7, 7, 9, 6, 4, 0, 9, 6, 9, 9, 6, 8, 1, 7, 1, 5, 4, 7, 6, 8, 6, 8, 3, 3, 8, 3, 5, 7, 4, 9, 2, 4, 2, 5, 2, 9, 2, 5, 6, 1, 6, 7, 3, 0, 6, 5, 1, 6, 0, 5, 1, 4, 8, 4, 2, 6, 1, 2, 9, 0, 7, 9, 2, 0, 4, 3, 6, 3, 8, 5, 9, 0, 8, 0
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OFFSET
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0,1
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COMMENTS
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This constant is introduced in the paper by Sampedro.
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LINKS
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FORMULA
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Equals Integral_{x=0..oo} log(Gamma(x)) * exp(-x) dx. See the paper by Sampedro for other formulas.
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EXAMPLE
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0.843302107531977964096996817154768683383574924252925...
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MATHEMATICA
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RealDigits[N[Integrate[Exp[-x]*Log[Gamma[x]], {x, 0, Infinity}], 100], 10, 100][[1]]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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