login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Table of n, a(n) for n=0..102.

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified May 23 14:44 EDT 2018. Contains 304469 sequences. (Running on oeis4.)