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A336284
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Decimal expansion of Sum_{n>=2} n^(log(n))/log(n)^n.
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2
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1, 0, 5, 4, 1, 7, 0, 5, 1, 1, 5, 2, 2, 8, 9, 7, 1, 5, 9, 1, 2, 6, 9, 7, 1, 5, 3, 3, 6, 0, 6, 3, 0, 9, 2, 9, 4, 7, 4, 7, 1, 7, 4, 8, 9, 9, 6, 5, 8, 8, 3, 0, 6, 5, 0, 3, 6, 9, 4, 9, 0, 6, 6, 6, 9, 0, 8, 6, 3, 4, 7, 2, 6, 3, 5, 4, 3, 0, 5, 7, 7, 0, 2, 9, 3, 5, 9, 9, 7
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OFFSET
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2,3
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COMMENTS
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This series is convergent because there exists n_1 such that for n >= n_1, n^(log(n))/(log(n)^n <= (1/sqrt(e))^n.
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LINKS
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FORMULA
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Equals Sum_{n>=2} n^(log(n))/log(n)^n.
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EXAMPLE
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10.5417051152289715912697153360630929474717489965883...
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MAPLE
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evalf(sum(n^(log(n))/log(n)^n, n=2..infinity), 100);
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PROG
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(PARI) suminf(n=2, n^(log(n))/log(n)^n) \\ Michel Marcus, Jul 17 2020
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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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