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A074785 Decimal expansion of -log(log(2)). 8
3, 6, 6, 5, 1, 2, 9, 2, 0, 5, 8, 1, 6, 6, 4, 3, 2, 7, 0, 1, 2, 4, 3, 9, 1, 5, 8, 2, 3, 2, 6, 6, 9, 4, 6, 9, 4, 5, 4, 2, 6, 3, 4, 4, 7, 8, 3, 7, 1, 0, 5, 2, 6, 3, 0, 5, 3, 6, 7, 7, 7, 1, 3, 6, 7, 0, 5, 6, 1, 6, 1, 5, 3, 1, 9, 3, 5, 2, 7, 3, 8, 5, 4, 9, 4, 5, 5, 8, 2, 2, 8, 5, 6, 6, 9, 8, 9, 0, 8, 3, 5, 8, 3, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The function f(p) = integral_{x=2..infinity} 1/(x*log(x)^p) has a minimum of -e*log(log(2)) = 0.996285... at p = 1-1/log(log(2)) = 3.728416... [Jean-François Alcover, May 24 2013]

log(log(2)) also equals the median of the Gumbel distribution with location parameter 0 and scale parameter 1. - Jean-François Alcover, Jul 29 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

D. Kouznetsov, H. Trappmann, Portrait of the four regular super-exponentials to base sqrt(2), Math. Comp. 79 (271) (2010) 1727-1756, eq (3.2)

Simon Plouffe, log(log(2))

Eric Weisstein's MathWorld, Gumbel Distribution

EXAMPLE

-0.36651292058166432701243915823266946945...

MATHEMATICA

RealDigits[-Log[Log[2]], 10, 120][[1]] (* Harvey P. Dale, Nov 24 2013 *)

CROSSREFS

Cf. A059200.

Sequence in context: A247685 A185735 A197263 * A225462 A179949 A187601

Adjacent sequences:  A074782 A074783 A074784 * A074786 A074787 A074788

KEYWORD

cons,easy,nonn

AUTHOR

Benoit Cloitre, Sep 07 2002

STATUS

approved

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Last modified December 22 18:48 EST 2014. Contains 252365 sequences.