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A362533
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Decimal expansion of lim_{n->oo} ( Sum_{k=2..n} 1/(k * log(k) * log log(k)) - log log log(n) ).
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4
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OFFSET
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1,1
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COMMENTS
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If u(n) = Sum_{k=2..n} ( 1/(k*log(k)*log log(k)) - log log log(n) ), then (u(n)) is convergent, while the series v(n) = Sum_{k=2..n} 1/(k*log(k)*log log log(k)) diverges (see link). This is an extension of A001620 and A361972.
Note that ( log log log(x) )' = 1 / ( x * log(x) * log log(x) ).
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LINKS
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FORMULA
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Limit_{n->oo} 1/( 2*log(2)*log log(2) ) + 1/( 3*log(3)*log log(3) ) + ... + 1/( n*log(n)*log log(n) ) - log log log(n).
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EXAMPLE
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2.69574...
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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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