A175293 - OEIS

A175293

Decimal expansion of Pi * 2F3(1/2,1/2; 3/2,3/2,3/2; -Pi^2/4).

2, 6, 5, 8, 1, 3, 4, 9, 1, 6, 5, 0, 8, 6, 4, 0, 8, 7, 1, 7, 7, 5, 0, 5, 2, 0, 4, 9, 1, 9, 4, 6, 0, 3, 9, 8, 6, 3, 2, 8, 2, 6, 1, 6, 6, 4, 0, 3, 6, 9, 4, 0, 8, 5, 0, 5, 0, 4, 6, 2, 5, 5, 4, 4, 2, 4, 5, 0, 1, 3, 2, 4, 0, 9, 2, 4, 0, 3, 9, 8, 3, 2, 6, 6, 1, 6, 2, 6, 5, 1, 9, 1, 1, 8, 4, 5, 2, 8, 2, 1, 7, 4, 3, 1, 1

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

OFFSET

1,1

COMMENTS

The absolute value of the integral of sin(Pi*x)*log(x)/x from x=0 to 1.

LINKS

Table of n, a(n) for n=1..105.

R. J. Mathar, Numerical evaluation of the oscillatory integral..., arXiv:0912.3844 [math.CA], App. B.

EXAMPLE

2.6581349...

MAPLE

evalf(Pi*hypergeom([1/2, 1/2], [3/2, 3/2, 3/2], -Pi^2/4)) ;

MATHEMATICA

Pi*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2, 3/2}, -Pi^2/4] // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, Feb 20 2013 *)

RealDigits[-NIntegrate[Sin[Pi*x] Log[x]/x, {x, 0, 1}, WorkingPrecision-> 120], 10, 120][[1]] (* Harvey P. Dale, Oct 09 2017 *)

CROSSREFS

Sequence in context: A094514 A171031 A199159 * A021083 A244928 A319016

Adjacent sequences: A175290 A175291 A175292 * A175294 A175295 A175296

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar, Mar 24 2010

STATUS

approved

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