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A276485
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Numerator of Sum_{k=1..n} 1/k^n.
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2
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1, 5, 251, 22369, 806108207, 47464376609, 774879868932307123, 248886558707571775009601, 4106541588424891370931874221019, 413520574906423083987893722912609, 7429165883912264897181708263009894640627544300697
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OFFSET
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1,2
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COMMENTS
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Also numerators of zeta(n) - Hurwitz zeta(n,n+1), where zeta(s) is the Riemann zeta function and Hurwitz zeta(s,a) is the Hurwitz zeta function.
Sum_{k>=1} 1/k^n = zeta(n).
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LINKS
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EXAMPLE
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1, 5/4, 251/216, 22369/20736, 806108207/777600000, 47464376609/46656000000, 774879868932307123/768464444160000000, ...
a(3) = 251, because 1/1^3 + 1/2^3 + 1/3^3 = 251/216.
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MATHEMATICA
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Table[Numerator[HarmonicNumber[n, n]], {n, 1, 11}]
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PROG
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(PARI) a(n) = numerator(sum(k=1, n, 1/k^n)); \\ Michel Marcus, Sep 06 2016
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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