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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 (list; constant; graph; refs; listen; history; text; internal format)
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

Cf. A197723 (3*Pi/2).

Sequence in context: A300911 A103114 A004561 * A199458 A287480 A287755

Adjacent sequences:  A255981 A255982 A255983 * A255985 A255986 A255987

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Mar 13 2015

STATUS

approved

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Last modified October 17 19:44 EDT 2019. Contains 328128 sequences. (Running on oeis4.)