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A100668
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Decimal expansion of the base-2 analog of the Euler-Mascheroni constant.
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4
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8, 3, 2, 7, 4, 6, 1, 7, 7, 2, 7, 6, 8, 6, 7, 1, 5, 0, 6, 4, 6, 4, 1, 7, 5, 1, 9, 4, 0, 8, 1, 1, 5, 5, 3, 5, 1, 6, 2, 4, 3, 1, 5, 3, 1, 0, 2, 6, 3, 2, 8, 1, 0, 1, 6, 3, 1, 4, 9, 8, 1, 9, 7, 5, 8, 4, 5, 8, 1, 3, 5, 1, 4, 4, 6, 0, 9, 5, 8, 4, 2, 2, 9, 0, 2, 0, 2, 6, 0, 0, 3, 4, 4, 4, 3, 0, 6, 3, 0, 4, 6, 7, 8, 6, 0
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OFFSET
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0,1
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..10000
Hartosh Singh Bal and Gaurav Bhatnagar, Prime number conjectures from the Shapiro class structure, arXiv:1903.09619 [math.NT], 2019.
Eric Weisstein's World of Mathematics, Euler-Mascheroni Constant.
Eric Weisstein's World of Mathematics, Harmonic Number (with contribution from Jonathan Sondow).
Eric Weisstein's World of Mathematics, Lg.
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FORMULA
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EulerGamma/log(2) = A001620/A002162.
Equals Integral_{x=-infinity..infinity} x*2^(-x)*log(2)*exp(-2^(-x)) dx. - Alois P. Heinz, Nov 09 2016
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EXAMPLE
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0.83274617727686715064641751940811553516243153102632810163149819758458\ 1351446095842290202600344430630467860292319092706478030883524064025...
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MATHEMATICA
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RealDigits[Limit[Sum[D[Log[2, x], x] /. x -> k, {k, 1, n}] - Log[2, n], n -> Infinity], 10, 135][[1]]
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PROG
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(PARI) Euler/log(2) \\ Michel Marcus, Jun 02 2020
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CROSSREFS
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Cf. A001620, A002162, A158468.
Sequence in context: A063568 A302138 A198494 * A194159 A154158 A100863
Adjacent sequences: A100665 A100666 A100667 * A100669 A100670 A100671
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KEYWORD
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cons,nonn
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 05 2004
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STATUS
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approved
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