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A341836
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Dirichlet g.f.: 1 / zeta(s)^10.
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8
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1, -10, -10, 45, -10, 100, -10, -120, 45, 100, -10, -450, -10, 100, 100, 210, -10, -450, -10, -450, 100, 100, -10, 1200, 45, 100, -120, -450, -10, -1000, -10, -252, 100, 100, 100, 2025, -10, 100, 100, 1200, -10, -1000, -10, -450, -450, 100, -10, -2100, 45, -450, 100, -450
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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Multiplicative with a(p^e) = (-1)^e * binomial(10, e).
a(1) = 1; a(n) = -Sum_{d|n, d < n} tau_10(n/d) * a(d).
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MATHEMATICA
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a[1] = 1; a[n_] := Times @@ ((-1)^#[[2]] Binomial[10, #[[2]]] &/@ FactorInteger[n]); Table[a[n], {n, 52}]
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PROG
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(PARI) for(n=1, 100, print1(direuler(p=2, n, (1 - X)^10)[n], ", ")) \\ Vaclav Kotesovec, Feb 22 2021
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CROSSREFS
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KEYWORD
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sign,mult
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AUTHOR
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STATUS
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approved
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