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.

A300731 Decimal expansion of sqrt(Pi^4/96 - 1).

This page as a plain text file.
%I A300731 #15 Mar 02 2025 14:02:53
%S A300731 1,2,1,1,5,2,9,2,6,5,1,9,3,0,4,7,4,3,3,1,4,9,7,3,8,7,4,7,4,5,3,5,2,8,
%T A300731 5,0,9,8,8,5,9,7,5,4,4,0,5,6,8,5,3,2,4,6,6,0,6,0,3,7,5,1,2,0,8,6,8,2,
%U A300731 8,3,0,8,1,1,3,7,6,5,3,2,6,4,3,4,7,3,8,3,8,0,6,1,5,8,5,5,0,7,9,1,5,8,2
%N A300731 Decimal expansion of sqrt(Pi^4/96 - 1).
%C A300731 Also the total harmonic distortion (THD) of a triangle wave, see formula (14) in the Blagouchine & Moreau link.
%H A300731 I. V. Blagouchine and E. Moreau, <a href="http://dx.doi.org/10.1109/TCOMM.2011.061511.100749">Analytic Method for the Computation of the Total Harmonic Distortion by the Cauchy Method of Residues</a>, IEEE Trans. Commun., vol. 59, no. 9, pp. 2478-2491, 2011. <a href="http://iblagouchine.perso.centrale-marseille.fr/IEEE-TCOM-2011-061511-100749.php">PDF file</a>.
%H A300731 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A300731 0.1211529265193047433149738747453528509885975440568532...
%p A300731 evalf(sqrt((1/96)*Pi^4-1), 120)
%t A300731 RealDigits[Sqrt[Pi^4/96 - 1], 10, 120][[1]]
%o A300731 (PARI) default(realprecision, 120); sqrt(Pi^4/96-1)
%o A300731 (MATLAB) format long; sqrt(pi^4/96-1)
%Y A300731 Cf. A092425, A300690, A300707, A300713, A300714, A300727.
%K A300731 nonn,cons
%O A300731 0,2
%A A300731 _Iaroslav V. Blagouchine_, Mar 11 2018