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A145436
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Decimal expansion of Sum_{n>=0} (-1)^n/((2n+1)^2*binomial(2n,n)).
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2
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9, 5, 0, 2, 3, 9, 6, 0, 5, 1, 1, 6, 6, 4, 3, 2, 5, 8, 9, 8, 1, 6, 2, 7, 9, 5, 2, 9, 5, 1, 4, 2, 6, 9, 0, 9, 1, 6, 9, 7, 3, 0, 8, 5, 1, 0, 5, 8, 9, 0, 1, 8, 2, 5, 2, 8, 9, 6, 5, 4, 5, 4, 3, 3, 0, 0, 6, 2, 1, 4, 3, 3, 7, 0, 2, 3, 1, 5, 4, 3, 4, 8, 7, 8, 4, 6, 5, 2, 5, 9, 3, 6, 0
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OFFSET
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0,1
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REFERENCES
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Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.45.
Bruce C. Berndt, Ramanujan's Notebooks, Part 1, Springer-Verlag, 1985, Chapter 9, p. 289, eq. (vii).
Calvin C. Clawson, Mathematical Mysteries: The Beauty and Magic of Numbers, Springer, 2013. See p. 222.
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LINKS
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FORMULA
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EXAMPLE
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0.95023960511664325898162795295142690916973085105890...
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MAPLE
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1/6*Pi^2-3*ln(1/2+1/2*5^(1/2))^2 ;
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MATHEMATICA
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RealDigits[Zeta[2] - 3 * Log[GoldenRatio]^2, 10, 120][[1]] (* Amiram Eldar, May 06 2023 *)
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PROG
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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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