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A346450
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Decimal expansion of 1681 * Pi^6 / (933120 * sqrt(3)).
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5
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9, 9, 9, 9, 2, 8, 2, 1, 7, 8, 2, 5, 1, 0, 4, 4, 2, 1, 8, 0, 1, 4, 3, 3, 0, 5, 6, 2, 3, 0, 8, 9, 4, 0, 2, 6, 3, 7, 0, 9, 2, 5, 3, 5, 7, 8, 1, 3, 4, 7, 9, 1, 2, 3, 4, 4, 3, 6, 8, 9, 4, 3, 3, 7, 5, 7, 7, 2, 2, 7, 1, 9, 1, 9, 5, 2, 3, 1, 6, 7, 2, 8, 0, 9, 8, 8, 7
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OFFSET
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0,1
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REFERENCES
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L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (329).
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LINKS
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FORMULA
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Equals 41^2 * Pi^6 / (2^8 * 3^6 * 5 * sqrt(3)).
Equals 1 + Sum_{k>=1} ( (-1)^k/(6*k-1)^6 + (-1)^k/(6*k+1)^6 ).
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EXAMPLE
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0.99992821782510442180143305623089402637...
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MATHEMATICA
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First[RealDigits[N[41^2*Pi^6/(2^8*3^6*5*Sqrt[3]), 100]]] (* Stefano Spezia, Jul 19 2021 *)
RealDigits[1681 Pi^6/(933120 Sqrt[3]), 10, 120][[1]] (* Harvey P. Dale, Oct 01 2023 *)
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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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