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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A300713 Decimal expansion of sqrt(Pi^2/6 - 1) = sqrt(zeta(2) - 1). 4
8, 0, 3, 0, 7, 7, 8, 7, 0, 9, 7, 4, 0, 5, 8, 4, 2, 8, 1, 8, 4, 3, 2, 1, 2, 4, 4, 6, 6, 9, 0, 3, 4, 8, 2, 3, 1, 8, 9, 8, 9, 1, 0, 9, 9, 6, 4, 0, 9, 6, 6, 1, 3, 6, 6, 2, 9, 8, 4, 3, 5, 0, 7, 2, 1, 4, 7, 9, 8, 3, 5, 6, 0, 5, 0, 9, 0, 4, 6, 4, 2, 0, 1, 0, 8, 2, 0, 8, 7, 6, 3, 8, 5, 8, 2, 6, 6, 5, 0, 6, 7, 3, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also the total harmonic distortion (THD) of a sawtooth signal, see formula (15) 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(A013661 - 1).

EXAMPLE

0.8030778709740584281843212446690348231898910996409661...

MAPLE

evalf(sqrt((1/6)*Pi^2-1), 120)

MATHEMATICA

RealDigits[Sqrt[Pi^2/6 - 1], 10, 120][[1]]

PROG

(PARI) default(realprecision, 120); sqrt(Pi^2/6-1)

(MATLAB) format long; sqrt(pi^2/6-1)

CROSSREFS

Cf. A013661, A300690, A300714, A300727, A300731.

Sequence in context: A179068 A144455 A251866 * A020837 A248679 A175574

Adjacent sequences:  A300710 A300711 A300712 * A300714 A300715 A300716

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.)