1,1
The value of integral {x=0..Pi/2} x^2*(log(2*cosx))^2 dx.
The absolute value of (d^2/db^2(d^2/da^2(integral {x=0..Pi/2} cos(ax)*(2cos(x))^b dx.
The value of Pi/2*(d^2/db^2(d^2/da^2(gamma(b+1)/gamma((b+a)/2+1)/gamma((b-a)/2+1)))) at a=0 and b=0. [Seiichi Kirikami and Peter J. C. Moses]
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 4th edition, 3.631.9
Table of n, a(n) for n=1..105.
Jonathan Sondow and Eric W. Weisstein Harmonic Number (22)
Equals 11*A092731/1440
2.3376503698875666568...
RealDigits[ N[11 Pi^5/1440, 150]][[1]]
Cf. A152584, A193712, A194655.
Sequence in context: A063670 A253357 A185909 * A171824 A143444 A108346
Adjacent sequences: A193710 A193711 A193712 * A193714 A193715 A193716
cons,easy,nonn
Seiichi Kirikami, Aug 31 2011
approved