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A100668 Decimal expansion of the base-2 analog of the Euler-Mascheroni constant. 3
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Hartosh Singh Bal, 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 et al., "Harmonic Number."

Eric Weisstein's World of Mathematics, "Lg."

FORMULA

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

EXAMPLE

0.83274617727686715064641751940811553516243153102632810163149819758458\ 1351446095842290202600344430630467860292319092706478030883524064025...

MATHEMATICA

RealDigits[Limit[Sum[D[Log[2, x], x] /. x -> k, {k, 1, n}] - Log[2, n], n -> Infinity], 10, 135][[1]]

CROSSREFS

Cf. A001620, A002162, A158468.

Sequence in context: A063568 A302138 A198494 * A194159 A154158 A100863

Adjacent sequences:  A100665 A100666 A100667 * A100669 A100670 A100671

KEYWORD

cons,nonn

AUTHOR

Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 05 2004

STATUS

approved

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Last modified May 25 11:27 EDT 2020. Contains 334592 sequences. (Running on oeis4.)