OFFSET
1,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
David H. Bailey and Jonathan M. Borwein, Experimental computation with oscillatory integrals.
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
KEYWORD
AUTHOR
Jean-François Alcover, Mar 13 2015
STATUS
approved