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A353127
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Decimal expansion of Pi^2/4 - log(2).
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0
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1, 7, 7, 4, 2, 5, 3, 9, 1, 9, 7, 1, 2, 3, 9, 4, 3, 4, 5, 2, 9, 1, 3, 9, 0, 6, 2, 8, 5, 1, 0, 8, 6, 1, 2, 1, 5, 7, 5, 2, 9, 2, 4, 7, 1, 7, 4, 4, 9, 9, 4, 2, 4, 0, 2, 4, 8, 2, 6, 5, 7, 3, 3, 4, 5, 6, 1, 6, 1, 7, 5, 8, 3, 6, 3, 5, 1, 0, 6, 5, 9, 5, 1, 4, 4, 5, 8, 0, 0, 2
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OFFSET
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1,2
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COMMENTS
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Limit of the series u where u(n) = 1/n when n is a square, and u(n) = (-1)^n/n otherwise.
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REFERENCES
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M. Lepez, Les Grands classiques de Mathématiques, Classes préparatoires scientifiques, Analyse, Exercices corrigés et commentés, MP-PC-PT, Bréal, 1995, Exercice 201, p. 29.
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LINKS
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FORMULA
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Equals Sum_{k>=1} ( (-1)^k/k + 2/(2*k-1)^2 ).
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EXAMPLE
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1.77425391971239434529139062851086121575292471744...
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MAPLE
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evalf(Pi^2/4 - log(2), 100);
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MATHEMATICA
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RealDigits[Pi^2/4 - Log[2], 10, 100][[1]] (* Amiram Eldar, Apr 24 2022 *)
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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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