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A346727
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Decimal expansion of 361 * Pi^6 / (245760 * sqrt(2)).
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3
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9, 9, 8, 5, 7, 3, 9, 7, 1, 9, 5, 3, 5, 3, 0, 5, 4, 7, 6, 7, 0, 2, 7, 0, 5, 1, 6, 1, 0, 6, 6, 6, 8, 0, 7, 3, 0, 3, 1, 9, 5, 4, 9, 3, 0, 0, 6, 3, 6, 8, 7, 6, 6, 5, 2, 3, 2, 2, 9, 2, 5, 1, 8, 8, 3, 7, 6, 4, 8, 7, 4, 6, 1, 2, 3, 2, 5, 1, 3, 8, 0, 0, 8, 8, 3, 1, 2
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OFFSET
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0,1
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COMMENTS
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Shamos (2011) has incorrect formula 19^2*Pi^4 / (2^14*3*5*sqrt(3)).
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REFERENCES
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L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (327).
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LINKS
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FORMULA
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Equals 19^2 * Pi^6 / (2^14 * 3 * 5 * sqrt(2)).
Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^6 + (-1)^k/(4*k+1)^6 ).
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EXAMPLE
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0.998573971953530547670270516106668073031954930...
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MATHEMATICA
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RealDigits[361*Pi^6/(245760*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 13 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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