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

Author

Jean-François Alcover, Mar 13 2015

Keywords

• nonn
• cons
• easy

Examples

			2.17080376367480297808904388187238730361632668435363778...
		

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

Crossrefs

Cf. A197723 (3*Pi/2).

Programs

Magma

SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(3*Pi(R)/2); // G. C. Greubel, Feb 28 2019

Maple

evalf[120](sqrt(3*Pi/2)); # Muniru A Asiru, Mar 01 2019

Mathematica

RealDigits[Sqrt[3*Pi/2], 10, 103]//First

PARI

sqrt(3*Pi/2) \\ Charles R Greathouse IV, Apr 20 2016

Sage

numerical_approx(sqrt(3*pi/2), digits=100) # G. C. Greubel, Feb 28 2019

Formula

Limit_{p -> infinity} (integral_{0..infinity} abs(sin(t)/t)^p dt) = sqrt(3*Pi/2).