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A229191
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Decimal expansion of the integral_{x=0..Infinity} 1/x^x dx.
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3
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1, 9, 9, 5, 4, 5, 5, 9, 5, 7, 5, 0, 0, 1, 3, 8, 0, 0, 0, 4, 1, 8, 7, 2, 4, 6, 9, 8, 4, 5, 2, 7, 2, 4, 3, 5, 2, 0, 8, 6, 2, 1, 6, 6, 3, 6, 9, 6, 7, 9, 7, 8, 8, 7, 2, 7, 8, 8, 3, 0, 0, 0, 6, 0, 9, 8, 3, 0, 3, 1, 6, 1, 7, 1, 4, 6, 5, 6, 6, 3, 6, 3, 0, 6, 6, 9, 5, 4, 9, 2, 7, 7, 8, 9, 4, 6, 3, 8, 7, 7, 0, 5, 8, 1, 6, 7, 6, 3, 7, 7, 0
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OFFSET
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1,2
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COMMENTS
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"The function x^x grows even more quickly than Gamma(x) and the integral {0-inf} 1/x^x dx = 1.9954559575... and the integral {1-inf} 1/x^x dx = 0.7041699604... ." [Finch]
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REFERENCES
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Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, p. 263.
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LINKS
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EXAMPLE
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1.9954559575001380004187246984527243520862166369679788727883...
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MAPLE
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MATHEMATICA
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RealDigits[ NIntegrate[ 1/x^x, {x, 0, 100}, MaxRecursion -> 5000, MaxPoints -> 5000, AccuracyGoal-> 111, PrecisionGoal -> 111, WorkingPrecision -> 120], 10, 111][[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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