This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A217708 #11 Jun 08 2021 14:20:08 %S A217708 6,0,3,7,5,8,1,1,0,6,3,0,9,5,9,8,1,7,0,2,6,7,4,3,6,8,9,2,6,5,0,2,6,7, %T A217708 4,6,7,5,5,0,3,9,8,2,8,5,8,8,8,6,8,6,2,7,1,7,5,1,8,0,4,9,0,1,3,5,5,8, %U A217708 7,4,2,2,1,2,7,0,1,6,0,6,7,4,0,9,7,6,9,3,5,9,7,6,6,7,5,9,9,6,8,2 %N A217708 Decimal expansion of integral_{0, Pi/4} log(sin(x))^3 dx. %C A217708 Curiously, this integral from 0 to Pi/4 is far more difficult to evaluate by hand than the same integral from 0 to Pi/2. %e A217708 -6.037581106... %t A217708 (1/8)*((-Log[2]^2)*(Pi*Log[2] + 3*Catalan) - 4*Sqrt[2]*(6*HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2, 3/2}, 1/2] + HypergeometricPFQ[{1/2, 1/2, 1/2, 1/2}, {3/2, 3/2, 3/2}, 1/2]*Log[8])) // RealDigits[#, 10, 100] & // First %t A217708 RealDigits[Integrate[Log[Sin[x]]^3,{x,0,Pi/4}],10,120][[1]] (* _Harvey P. Dale_, Jun 08 2021 *) %Y A217708 Cf. A196878 (the same integral from 0 to Pi/2) %K A217708 nonn,cons %O A217708 1,1 %A A217708 _Jean-François Alcover_, Mar 20 2013