A300690 Decimal expansion of sqrt(Pi^2/8 - 1).

4, 8, 3, 4, 2, 5, 8, 4, 7, 6, 0, 8, 6, 7, 9, 0, 9, 9, 0, 1, 3, 7, 3, 2, 6, 3, 7, 0, 6, 3, 9, 3, 1, 7, 0, 2, 2, 3, 2, 8, 0, 1, 7, 2, 7, 6, 6, 5, 1, 4, 5, 9, 9, 4, 8, 6, 9, 3, 4, 5, 7, 2, 4, 6, 1, 7, 4, 7, 3, 1, 3, 8, 1, 6, 4, 0, 8, 0, 1, 6, 6, 1, 5, 0, 2, 8, 7, 2, 5, 3, 3, 3, 6, 4, 5, 5, 2, 0, 4, 5, 1, 0, 0

Offset

0,1

Comments

Also the total harmonic distortion (THD) of a square wave, see formula (11) 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

Example

0.4834258476086790990137326370639317022328017276651459...

Maple

evalf(sqrt((1/8)*Pi^2-1), 120)

Mathematica

RealDigits[Sqrt[Pi^2/8 - 1], 10, 120][[1]]

Prog

(PARI) default(realprecision, 120); sqrt(Pi^2/8-1)
(MATLAB) format long; sqrt(pi^2/8-1)

Crossrefs

Cf. A002388, A111003, A300713, A300714, A300727, A300731.

Sequence in context: A132797 A309217 A217602 * A193077 A271871 A204993

Adjacent sequences: A300687 A300688 A300689 * A300691 A300692 A300693

Keyword

nonn,cons

Author

Iaroslav V. Blagouchine, Mar 11 2018

Status

approved