A255984 Decimal expansion of sqrt(3*Pi/2), the value of an oscillatory integral.

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

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.

Index entries for transcendental numbers

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

Adjacent sequences: A255981 A255982 A255983 * A255985 A255986 A255987

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Mar 13 2015

Status

approved