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A351687
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Decimal expansion of Sum_{n>=2} (-1)^n/log(n!).
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0
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1, 0, 7, 6, 9, 0, 1, 0, 2, 7, 8, 5, 8, 6, 3, 1, 4, 7, 1, 9, 9, 7, 3, 7, 4, 8, 2, 0, 7, 3, 3, 2, 8, 7, 9, 3, 8, 2, 9, 4, 8, 1, 2, 6, 4, 6, 7, 7, 7, 6, 4, 1, 6, 1, 1, 6, 9, 8, 7, 9, 4, 7, 8, 9, 6, 4, 4, 2, 1, 7, 4, 1, 1, 1, 1, 4, 0, 4, 3, 6, 6, 6, 6, 9, 7, 1, 8, 3, 7, 5, 3, 9, 5, 7, 9, 0
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OFFSET
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1,3
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COMMENTS
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This series is convergent according to the alternating series test, while series Sum_{n>=2} 1/log(n!) -> infinity (link).
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LINKS
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FORMULA
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Equals Sum_{k>=2} (-1)^k/log(k!).
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EXAMPLE
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1.0769010278586314719973748207332879382948126467776416116987...
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MAPLE
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evalf(sum((-1)^n / log(n!), n=2..infinity), 120);
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MATHEMATICA
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RealDigits[NSum[(-1)^k/Log[k!], {k, 2, Infinity}, WorkingPrecision -> 120, Method -> "AlternatingSigns"]][[1]] (* Amiram Eldar, May 05 2022 *)
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PROG
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CROSSREFS
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Cf. A099769 (Sum_{n>=2} (-1)^n/log(n)).
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KEYWORD
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AUTHOR
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STATUS
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approved
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