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A119756
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Numerator of n/1^n + (n-1)/2^n + (n-2)/3^n + ... + 2/(n-1)^n + 1/n^n.
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0
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1, 9, 355, 87425, 666094597, 283878143843, 1354313329376085811, 24568316785788956621809, 3695039511560825652073500196447, 20673934657221575836904008710237871
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(p-1) is divisible by p^2 for prime p>2. a(p-2) is divisible by p for prime p>3. a(n) = (n+1)*(Zeta[n] - Zeta[n,n+1]) - Zeta[n-1] + Zeta[n-1,n+1].
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FORMULA
| a(n) = numerator[ Sum[ (n+1-i)/i^n, {i,1,n} ]].
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MATHEMATICA
| Table[Numerator[Sum[(n+1-i)/i^n, {i, 1, n}]], {n, 1, 13}]
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CROSSREFS
| Sequence in context: A055601 A203745 A012812 * A063068 A130558 A132593
Adjacent sequences: A119753 A119754 A119755 * A119757 A119758 A119759
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KEYWORD
| frac,nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Jun 17 2006
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