A240242 - OEIS

A240242

Decimal expansion of Integral_(x=1..c) (log(x)/(1+x))^2 dx, where c = A141251 = e^(LambertW(1/e)+1) corresponds to the maximum of the function.

1, 3, 8, 4, 7, 5, 3, 2, 4, 2, 5, 8, 4, 8, 0, 4, 9, 0, 4, 1, 4, 3, 3, 3, 3, 6, 8, 5, 5, 3, 5, 1, 6, 2, 8, 7, 5, 8, 9, 2, 9, 0, 0, 0, 0, 2, 1, 9, 5, 7, 7, 8, 3, 1, 5, 8, 3, 4, 3, 7, 0, 8, 5, 7, 1, 9, 9, 4, 3, 9, 0, 8, 2, 6, 3, 2, 6, 6, 3, 9, 8, 3, 5, 4, 9, 8, 9, 3, 7, 0, 0, 6, 8, 2, 8, 5, 6, 3, 9, 1

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

Jean-François Alcover, Graphics

FORMULA

A195055 = A013661 + A240242 + A240243.

(log(c)/(1+c))^2 = (LambertW(1/e))^2 = 0.0775425...

EXAMPLE

0.13847532425848...

MATHEMATICA