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A349522
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Decimal expansion of Sum_{k>=2} 1/(k*log(k))^2.
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0
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6, 9, 2, 6, 0, 5, 8, 1, 4, 6, 7, 4, 2, 4, 9, 3, 2, 7, 5, 1, 3, 8, 6, 3, 9, 4, 8, 8, 6, 1, 9, 5, 6, 3, 0, 5, 4, 3, 5, 9, 2, 1, 7, 3, 3, 4, 9, 5, 1, 7, 2, 4, 9, 4, 3, 7, 5, 3, 9, 9, 0, 7, 6, 3, 3, 7, 2, 3, 8, 5, 5, 9, 9, 2, 1, 2, 9, 2, 6, 6, 8, 2, 1, 7, 1
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OFFSET
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0,1
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COMMENTS
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Theorem: Bertrand series Sum_{n>=2} 1/(n^q*log(n)^r) is convergent if q > 1.
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LINKS
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FORMULA
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Equals Sum_{k>=2} 1/(k*log(k))^2.
Equals Integral_{x>=2, y>=2} (zeta(x + y - 2) - 1) dx dy. - Amiram Eldar, Nov 21 2021
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EXAMPLE
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0.6926058...
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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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