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A343425
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a(n) = Sum_{k=1..n} mu(k) * n^(n - k).
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3
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1, 1, 5, 44, 474, 6259, 98398, 1801784, 37726398, 889909001, 23363492888, 675898131588, 21367308429609, 732952005073611, 27116443849927291, 1076343749563379984, 45629840631648951966, 2057705657634136459302, 98357762859847238180913
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OFFSET
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1,3
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LINKS
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MATHEMATICA
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a[n_] := Sum[MoebiusMu[k] * n^(n-k), {k, 1, n}]; Array[a, 20] (* Amiram Eldar, May 19 2021 *)
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PROG
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(PARI) a(n) = sum(k=1, n, moebius(k)*n^(n-k));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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