A300731 Decimal expansion of sqrt(Pi^4/96 - 1).

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

Offset

0,2

Comments

Also the total harmonic distortion (THD) of a triangle wave, see formula (14) 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

0.1211529265193047433149738747453528509885975440568532...

Maple

evalf(sqrt((1/96)*Pi^4-1), 120)

Mathematica

RealDigits[Sqrt[Pi^4/96 - 1], 10, 120][[1]]

Prog

(PARI) default(realprecision, 120); sqrt(Pi^4/96-1)
(MATLAB) format long; sqrt(pi^4/96-1)

Crossrefs

Cf. A092425, A300690, A300707, A300713, A300714, A300727.

Sequence in context: A169589 A003570 A011281 * A100398 A160364 A107735

Adjacent sequences: A300728 A300729 A300730 * A300732 A300733 A300734

Keyword

nonn,cons

Author

Iaroslav V. Blagouchine, Mar 11 2018

Status

approved