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A193712
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Decimal expansion of pi*zeta(3)/4.
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2
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9, 4, 4, 0, 9, 3, 2, 8, 4, 0, 4, 0, 7, 6, 9, 7, 3, 1, 8, 0, 0, 8, 6, 8, 9, 4, 8, 3, 1, 3, 1, 3, 5, 7, 0, 5, 3, 7, 5, 3, 0, 7, 5, 9, 3, 1, 9, 9, 1, 6, 3, 3, 2, 4, 3, 9, 5, 7, 3, 8, 3, 1, 0, 7, 2, 1, 1, 3, 8, 6, 6, 3, 7, 5, 6, 6, 2, 5, 0, 8, 2, 9, 4, 6, 4, 1, 9, 6, 0, 5, 6, 6, 6, 4, 8, 9, 6, 7, 6, 6, 3, 6, 4, 7, 5
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OFFSET
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0,1
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COMMENTS
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The absolute value of the integral {x=0..Pi/2} x^2*log(2*cosx) dx.
The absolute value of the (d/db(d^2/da^2(integral {x=0..Pi/2} cos(ax)*(2*cosx)^b dx))).
The absolute value of Pi/2*(d/db(d^2/da^2(gamma(b+1)/gamma((b+a)/2+1)/gamma((b-a)/2+1)))at a=0 and b=0. [Seiichi Kirikami and Peter J.C. Moses(mows(AT)mopar.freeserve.co.uk)]
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REFERENCES
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I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 4th edition, 3.631.9
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LINKS
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Table of n, a(n) for n=0..104.
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FORMULA
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Equals A000796*A002117/4.
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EXAMPLE
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0.94409328404076973180...
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MATHEMATICA
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RealDigits[ N[Pi Zeta[3]/4, 150]][[1]]
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CROSSREFS
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Cf. A152584, A193713, A194655.
Sequence in context: A082695 A019909 A117018 * A097878 A173571 A199179
Adjacent sequences: A193709 A193710 A193711 * A193713 A193714 A193715
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KEYWORD
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nonn,cons
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AUTHOR
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Seiichi Kirikami, Aug 31 2011
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STATUS
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approved
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