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A221648
Floor(integral_{n=0..infinity} (log(x) - log(1 + x^2))^n/(1 + x^2)^2 dx).
1
0, -2, 2, -7, 24, -121, 720, -5042, 40324, -362893, 3628841, -39916952, 479002203, -6227023411, 87178303368, -1307674428809, 20922790212198, -355687429932747, 6402373716747122, -121645100478614633, 2432902008641837022, -51090942174965733088, 1124000727801486784372
OFFSET
0,2
LINKS
G. Boros, V. H. Moll, An Integral with three parameters, SIAM Rev. 40 (1998), no. 4, 972-980.
PROG
(PARI) default(realprecision, 100); for(n=0, 50, print1(floor(intnum(x=0, oo, log(x/(1+x^2))^n/(1+x^2)^2))", "))
CROSSREFS
Sequence in context: A343577 A342644 A069101 * A138802 A292016 A350020
KEYWORD
sign,easy
AUTHOR
Balarka Sen, May 04 2013
STATUS
approved