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 A300714 Decimal expansion of the total harmonic distortion (THD) of the sawtooth signal filtered by a 1st-order low-pass filter. 4
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS See formula (33) in the Blagouchine & Moreau link. LINKS I. V. Blagouchine and E. Moreau, Analytic Method for the Computation of the Total Harmonic Distortion by the Cauchy Method of Residues. IEEE Trans. Commun., vol. 59, no. 9, pp. 2478-2491, 2011. PDF file. FORMULA Equals sqrt(Pi^2/3 - Pi*coth(Pi)). EXAMPLE 0.3694861820952043731200546914239769936602361586790838... MAPLE evalf(sqrt((1/3)*Pi^2-Pi*coth(Pi)), 120) MATHEMATICA RealDigits[Sqrt[Pi^2/3 - Pi*Coth[Pi]], 10, 120][[1]] PROG (PARI) default(realprecision, 120); sqrt(Pi^2/3-Pi/tanh(Pi)) (MATLAB) format long; sqrt(pi^2/3-pi*coth(pi)) CROSSREFS Cf. A195055, A300690, A300713, A300727. Sequence in context: A195771 A086276 A176322 * A020850 A163341 A197002 Adjacent sequences:  A300711 A300712 A300713 * A300715 A300716 A300717 KEYWORD nonn,cons AUTHOR Iaroslav V. Blagouchine, Mar 11 2018 STATUS approved

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Last modified January 26 01:48 EST 2020. Contains 331270 sequences. (Running on oeis4.)