A221648 Floor(integral_{n=0..infinity} (log(x) - log(1 + x^2))^n/(1 + x^2)^2 dx).

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

Author

Balarka Sen, May 04 2013

Keywords

• sign
• easy

Links

• Balarka Sen, Table of n, a(n) for n = 0..100
• G. Boros, V. H. Moll, An Integral with three parameters, SIAM Rev. 40 (1998), no. 4, 972-980.

Programs

PARI

default(realprecision,100);for(n=0,50,print1(floor(intnum(x=0,oo,log(x/(1+x^2))^n/(1+x^2)^2))", "))