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A091672
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Decimal expansion of (4*(18+12*sqrt(2)-10*sqrt(3)-7*sqrt(6))*EllipticK((2-sqrt(3))^2*(-sqrt(2)+sqrt(3))^2)^2)/Pi^2.
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3
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5, 0, 5, 4, 6, 2, 0, 1, 9, 7, 1, 7, 3, 2, 6, 0, 0, 6, 0, 5, 2, 0, 0, 4, 0, 5, 3, 2, 2, 7, 1, 4, 0, 2, 5, 9, 9, 8, 5, 1, 2, 9, 0, 1, 4, 8, 1, 7, 4, 2, 0, 8, 9, 2, 1, 8, 8, 9, 9, 3, 4, 8, 7, 8, 8, 6, 0, 2, 8, 7, 7, 3, 4, 5, 1, 1, 7, 3, 8, 1, 6, 8, 0, 0, 5, 3, 7, 2, 4, 7, 0, 6, 9, 8, 9, 6, 0, 3, 7, 9, 7, 5
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OFFSET
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0,1
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COMMENTS
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Watson's third triple integral.
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LINKS
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EXAMPLE
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0.505462019717326006052004053227140259985129014817420892188993487886...
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MAPLE
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evalf((4*(18+12*sqrt(2)-10*sqrt(3)-7*sqrt(6)))*EllipticK((2-sqrt(3))*(-sqrt(2)+sqrt(3)))^2/Pi^2, 120); # Vaclav Kotesovec, Apr 22 2015
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MATHEMATICA
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RealDigits[ N[ (4*(18 + 12*Sqrt[2] - 10*Sqrt[3] - 7*Sqrt[6])*EllipticK[(2 - Sqrt[3])^2*(-Sqrt[2] + Sqrt[3])^2]^2)/Pi^2, 102]][[1]] (* Jean-François Alcover, Nov 12 2012, after Eric W. Weisstein *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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