cp's OEIS Frontend

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.

A193713 Decimal expansion of 11*Pi^5/1440.

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%I A193713 #24 Feb 16 2025 08:33:15
%S A193713 2,3,3,7,6,5,0,3,6,9,8,8,7,5,6,6,6,5,6,8,6,8,1,6,2,7,8,5,0,5,4,0,2,1,
%T A193713 9,9,3,9,4,6,7,4,1,5,0,8,9,6,4,4,6,1,7,3,3,3,9,4,7,3,3,9,4,4,8,2,5,4,
%U A193713 0,6,1,8,9,9,0,9,5,5,1,5,7,5,9,3,3,0,6,8,4,0,6,3,9,4,8,3,0,7,6,9,4,0,5,8,4
%N A193713 Decimal expansion of 11*Pi^5/1440.
%C A193713 The value of Integral_{x=0..Pi/2} x^2*(log(2*cos(x)))^2 dx.
%C A193713 The absolute value of (d^2/db^2(d^2/da^2(Integral_{x=0..Pi/2} cos(a*x)*(2*cos(x))^b dx.
%C A193713 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_]
%D A193713 I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 4th edition, 3.631.9
%H A193713 Jonathan Sondow and Eric W. Weisstein <a href="https://mathworld.wolfram.com/HarmonicNumber.html">Harmonic Number</a> (22)
%H A193713 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A193713 Equals 11*A092731/1440.
%e A193713 2.3376503698875666568...
%t A193713 RealDigits[ N[11 Pi^5/1440, 150]][[1]]
%Y A193713 Cf. A152584, A193712, A194655.
%K A193713 cons,easy,nonn
%O A193713 1,1
%A A193713 _Seiichi Kirikami_, Aug 31 2011