A300713 Decimal expansion of sqrt(Pi^2/6 - 1) = sqrt(zeta(2) - 1).

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

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.

Index entries for transcendental numbers

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 * A373513 A020837 A248679

Adjacent sequences: A300710 A300711 A300712 * A300714 A300715 A300716

Keyword

nonn,cons

Author

Iaroslav V. Blagouchine, Mar 11 2018

Status

approved