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A158210
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a(n) = omega(n) * (-1)^mu(n), where mu is the Moebius function.
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2
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0, -1, -1, 1, -1, -2, -1, 1, 1, -2, -1, 2, -1, -2, -2, 1, -1, 2, -1, 2, -2, -2, -1, 2, 1, -2, 1, 2, -1, -3, -1, 1, -2, -2, -2, 2, -1, -2, -2, 2, -1, -3, -1, 2, 2, -2, -1, 2, 1, 2, -2, 2, -1, 2, -2, 2, -2, -2, -1, 3, -1, -2, 2, 1, -2, -3, -1, 2, -2, -3, -1, 2, -1, -2, 2, 2, -2, -3, -1, 2, 1
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OFFSET
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1,6
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COMMENTS
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LINKS
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FORMULA
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a(n) = omega(n) * (-1)^mu(n), where mu is the Moebius function.
a(mn) = [|a(m)| + |a(n)|] * max(sign[a(n)], sign[a(m)]), gcd(m,n) = 1, m > 1, n > 1.
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MATHEMATICA
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Table[(-1)^MoebiusMu[n]*PrimeNu[n], {n, 81}] (* L. Edson Jeffery, Dec 08 2014 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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