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A193424
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Decimal expansion of Sum_{n>=1} log(n+1)/n!.
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1
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1, 5, 5, 8, 6, 7, 0, 4, 3, 6, 4, 2, 5, 3, 8, 9, 0, 4, 2, 8, 1, 0, 2, 2, 3, 9, 8, 3, 4, 7, 0, 8, 5, 9, 3, 3, 3, 3, 9, 5, 6, 9, 2, 7, 9, 5, 5, 6, 1, 4, 8, 3, 9, 1, 4, 5, 4, 4, 3, 9, 7, 4, 0, 3, 5, 2, 2, 2, 0, 0, 6, 7, 6, 2, 2, 7, 1, 8, 3, 6, 6, 8, 7, 8, 9, 0, 2, 9, 3, 3, 2, 4, 6, 8, 6, 5, 4, 4, 1, 5, 7, 0, 8, 1, 3
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OFFSET
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1,2
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COMMENTS
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Equal to log(2*exp(1/2*log(3*exp(1/3*log(4*exp(...)))))). - Rok Cestnik, Jan 31 2019
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LINKS
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EXAMPLE
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1.55867043642538904...
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MATHEMATICA
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NSum[ Log[n + 1]/n!, {n, 1, Infinity}, WorkingPrecision -> 110, NSumTerms -> 100] // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, Feb 20 2013 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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N. J. A. Sloane, Aug 23 2011, based on a posting by Richard C. Schroeppel to the Math Fun Mailing List
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EXTENSIONS
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STATUS
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approved
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