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A094720 Fill's first logarithmic constant. 2
1, 2, 0, 3, 5, 6, 4, 9, 1, 6, 7, 4, 9, 6, 1, 0, 3, 3, 4, 2, 8, 6, 2, 8, 3, 3, 3, 8, 1, 4, 8, 7, 3, 1, 3, 1, 7, 7, 5, 5, 5, 2, 8, 3, 8, 5, 7, 7, 0, 9, 6, 0, 7, 4, 0, 3, 9, 0, 3, 8, 2, 4, 2, 7, 8, 1, 0, 9, 4, 2, 0, 5, 9, 6, 0, 6, 5, 9, 9, 6, 1, 4, 0, 3, 4, 1, 9, 8, 1, 9, 2, 3, 0, 9, 4, 4, 4, 9, 2, 8, 9, 3, 7, 1, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

J. A. Fill, Ph. Flajolet and N. Kapur, Singularity analysis, Hadamard products and tree recurrences

FORMULA

-gamma-2*integral(t=0..1, ((t-2)*log(1-t)-2*t)*log(log(1/t))/t^3 ).

EXAMPLE

1.2035649167496103342...

MATHEMATICA

RealDigits[ -EulerGamma - 2*NIntegrate[((t - 2)*Log[1 - t] - 2*t)*(Log[Log[1/t]]/t^3), {t, 0, 1},

WorkingPrecision -> 170, MaxRecursion -> 20]][[1]][[;; 105]]  (* Jean-Fran├žois Alcover, Jun 30 2011 *)

CROSSREFS

Cf. A094721.

Sequence in context: A285310 A262946 A216440 * A155800 A276658 A079510

Adjacent sequences:  A094717 A094718 A094719 * A094721 A094722 A094723

KEYWORD

nonn,cons

AUTHOR

Ralf Stephan, May 25 2004

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 01 2006

STATUS

approved

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Last modified March 24 12:14 EDT 2019. Contains 321448 sequences. (Running on oeis4.)