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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
OFFSET
0,1
COMMENTS
Also the total harmonic distortion (THD) of a sawtooth signal, see formula (15) in the Blagouchine & Moreau link.
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
KEYWORD
nonn,cons
AUTHOR
STATUS
approved