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A355922
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Decimal expansion of Sum_{k>=2} (1/k)*arctanh(1/k).
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2
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6, 7, 6, 5, 6, 5, 1, 3, 6, 1, 4, 7, 9, 6, 6, 6, 4, 0, 8, 2, 6, 4, 7, 2, 0, 1, 6, 2, 4, 6, 1, 2, 9, 8, 1, 3, 4, 5, 4, 3, 9, 5, 2, 1, 2, 1, 8, 5, 9, 5, 5, 6, 3, 2, 3, 0, 6, 0, 0, 8, 6, 1, 3, 1, 6, 5, 4, 6, 8, 5, 0, 8, 2, 4, 3, 6, 7, 5, 9, 2, 1, 1, 1, 9, 8, 2, 1
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OFFSET
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0,1
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LINKS
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FORMULA
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Equals Sum_{k>=2} arccoth(k)/k.
Equals Sum_{k>=1} (zeta(2*k)-1)/(2*k-1).
Equals log(Product_{k>=2} ((k+1)/(k-1))^(1/(2*k))).
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EXAMPLE
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0.67656513614796664082647201...
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MATHEMATICA
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RealDigits[N[Sum[ArcTanh[1/k]/k, {k, 2, Infinity}], 30], 10, 26][[1]] (* Amiram Eldar, Jul 21 2022 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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