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A346773
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a(n) = Sum_{d|n} möbius(d)^n.
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1
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1, 2, 0, 2, 0, 4, 0, 2, 0, 4, 0, 4, 0, 4, 0, 2, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 8, 0, 2, 0, 4, 0, 4, 0, 4, 0, 4, 0, 8, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 8, 0, 4, 0, 2, 0, 8, 0, 4, 0, 8, 0, 4, 0, 4, 0, 4, 0, 8, 0, 4, 0, 4, 0, 8, 0, 4, 0, 4, 0, 8, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 8, 0
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OFFSET
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1,2
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LINKS
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FORMULA
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G.f.: Sum_{k>=1} (mu(k)*x)^k/(1 - (mu(k)*x)^k).
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MATHEMATICA
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Table[Sum[MoebiusMu[d]^n, {d, Divisors[n]}], {n, 103}] (* Stefano Spezia, Aug 03 2021 *)
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PROG
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(PARI) a(n) = sumdiv(n, d, moebius(d)^n);
(PARI) a(n) = if(n%2, 0^(n-1), 2^omega(2*n));
(PARI) N=99; x='x+O('x^N); Vec(sum(k=1, N, (moebius(k)*x)^k/(1-(moebius(k)*x)^k)))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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