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A300731 Decimal expansion of sqrt(Pi^4/96 - 1). 3
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Also the total harmonic distortion (THD) of a triangle wave, see formula (14) in the Blagouchine & Moreau link.
LINKS
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.
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
Sequence in context: A169589 A003570 A011281 * A100398 A160364 A107735
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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Last modified March 19 01:22 EDT 2024. Contains 370952 sequences. (Running on oeis4.)