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A255984
Decimal expansion of sqrt(3*Pi/2), the value of an oscillatory integral.
1
2, 1, 7, 0, 8, 0, 3, 7, 6, 3, 6, 7, 4, 8, 0, 2, 9, 7, 8, 0, 8, 9, 0, 4, 3, 8, 8, 1, 8, 7, 2, 3, 8, 7, 3, 0, 3, 6, 1, 6, 3, 2, 6, 6, 8, 4, 3, 5, 3, 6, 3, 7, 7, 8, 0, 9, 2, 8, 6, 3, 6, 9, 8, 3, 3, 1, 1, 1, 0, 4, 6, 1, 5, 8, 5, 8, 8, 8, 7, 1, 8, 5, 7, 5, 0, 3, 4, 8, 8, 4, 4, 7, 0, 4, 3, 4, 6, 5, 4, 1, 2, 8, 9
OFFSET
1,1
FORMULA
Limit_{p -> infinity} (integral_{0..infinity} abs(sin(t)/t)^p dt) = sqrt(3*Pi/2).
EXAMPLE
2.17080376367480297808904388187238730361632668435363778...
MAPLE
evalf[120](sqrt(3*Pi/2)); # Muniru A Asiru, Mar 01 2019
MATHEMATICA
RealDigits[Sqrt[3*Pi/2], 10, 103]//First
PROG
(PARI) sqrt(3*Pi/2) \\ Charles R Greathouse IV, Apr 20 2016
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(3*Pi(R)/2); // G. C. Greubel, Feb 28 2019
(Sage) numerical_approx(sqrt(3*pi/2), digits=100) # G. C. Greubel, Feb 28 2019
CROSSREFS
Cf. A197723 (3*Pi/2).
Sequence in context: A365750 A103114 A004561 * A199458 A287480 A287755
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved