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A050996
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Decimal expansion of Rényi's parking constant.
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10
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7, 4, 7, 5, 9, 7, 9, 2, 0, 2, 5, 3, 4, 1, 1, 4, 3, 5, 1, 7, 8, 7, 3, 0, 9, 4, 3, 8, 3, 0, 1, 7, 8, 1, 7, 3, 0, 2, 4, 7, 8, 6, 2, 6, 4, 0, 7, 4, 2, 2, 8, 3, 7, 6, 6, 0, 4, 2, 2, 9, 1, 6, 3, 4, 2, 5, 1, 6, 7, 8, 8, 1, 6, 0, 2, 9, 5, 4, 4, 0, 4, 3, 1, 2, 4, 3, 0, 8, 5, 0, 3, 6, 9, 3, 1, 4, 1, 1, 1, 1, 5
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OFFSET
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0,1
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COMMENTS
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Named after the Hungarian mathematician Alfréd Rényi (1921-1970). - Amiram Eldar, Jun 24 2021
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REFERENCES
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A. Rényi, On a one-dimensional problem concerning random space-filling, Publ. Math. Inst. Hung. Acad. Sci., Vol. 3 (1958), pp. 109-127.
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LINKS
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FORMULA
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Equals exp(-2*gamma) * Integral_{x>=0} exp(2*Ei(-x))/x^2 dx, where gamma is Euler's constant (A001620) and Ei(x) is the exponential integral. - Amiram Eldar, Jun 24 2021
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EXAMPLE
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0.7475979202534114351787309438301781730247862640742283766042291634251678816...
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MATHEMATICA
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digits = 101; c = NIntegrate[E^(-2*(EulerGamma + Gamma[0, t] + Log[t])), {t, 0, Infinity}, WorkingPrecision -> digits + 10, MaxRecursion -> 20]; RealDigits[c, 10, digits][[1]] (* Jean-François Alcover, Nov 05 2012, updated May 21 2016 *)
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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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