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A282823
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Decimal expansion of Pi^2 + 8*K, where K is Catalan's constant.
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4
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1, 7, 1, 9, 7, 3, 2, 9, 1, 5, 4, 5, 0, 7, 1, 1, 0, 7, 3, 9, 2, 7, 1, 3, 1, 9, 1, 1, 9, 3, 3, 5, 2, 2, 4, 0, 2, 1, 5, 0, 6, 8, 9, 4, 4, 0, 1, 4, 9, 4, 1, 6, 7, 7, 0, 0, 5, 4, 5, 3, 3, 4, 3, 3, 3, 1, 9, 4, 1, 4, 8, 9, 8, 0, 6, 2, 9, 2, 4, 3, 3, 9, 8, 8, 3, 6, 6, 2, 5, 5, 0, 7
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OFFSET
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2,2
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LINKS
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FORMULA
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Equals Psi(1, 1/4), where Psi(r, x) is the Polygamma function of order r.
Equals Sum_{k>=0} 1/(k + 1/4)^2. - Amiram Eldar, May 17 2022
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EXAMPLE
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17.19732915450711073927131911933522402150689440149416770054533433319414...
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MATHEMATICA
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RealDigits[Pi^2 + 8 Catalan, 10, 100][[1]]
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PROG
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(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R)^2 + 8*Catalan(R); // G. C. Greubel, Aug 24 2018
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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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