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.

A300714 Decimal expansion of the total harmonic distortion (THD) of the sawtooth signal filtered by a 1st-order low-pass filter.

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%I A300714 #23 Mar 25 2018 14:59:58
%S A300714 3,6,9,4,8,6,1,8,2,0,9,5,2,0,4,3,7,3,1,2,0,0,5,4,6,9,1,4,2,3,9,7,6,9,
%T A300714 9,3,6,6,0,2,3,6,1,5,8,6,7,9,0,8,3,8,2,5,8,9,1,6,4,9,1,8,9,0,0,1,5,1,
%U A300714 7,9,3,1,4,2,0,0,6,6,9,9,8,3,5,0,8,2,8,4,2,5,6,1,0,2,7,6,7,4,1,8,9,8,0
%N A300714 Decimal expansion of the total harmonic distortion (THD) of the sawtooth signal filtered by a 1st-order low-pass filter.
%C A300714 See formula (33) in the Blagouchine & Moreau link.
%H A300714 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>.
%F A300714 Equals sqrt(Pi^2/3 - Pi*coth(Pi)).
%e A300714 0.3694861820952043731200546914239769936602361586790838...
%p A300714 evalf(sqrt((1/3)*Pi^2-Pi*coth(Pi)), 120)
%t A300714 RealDigits[Sqrt[Pi^2/3 - Pi*Coth[Pi]], 10, 120][[1]]
%o A300714 (PARI) default(realprecision, 120); sqrt(Pi^2/3-Pi/tanh(Pi))
%o A300714 (MATLAB) format long; sqrt(pi^2/3-pi*coth(pi))
%Y A300714 Cf. A195055, A300690, A300713, A300727.
%K A300714 nonn,cons
%O A300714 0,1
%A A300714 _Iaroslav V. Blagouchine_, Mar 11 2018