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A174941
a(n) = Sum_{d|n} A007955(d) * A008683(d) = Sum_{d|n} A007955(d) * mu(d), where A007955(m) = product of divisors of m.
0
1, -1, -2, -1, -4, 32, -6, -1, -2, 94, -10, 32, -12, 188, 218, -1, -16, 32, -18, 94, 432, 472, -22, 32, -4, 662, -2, 188, -28, -809648, -30, -1, 1076, 1138, 1214, 32, -36, 1424, 1506, 94, -40, -3111034, -42, 472, 218, 2092, -46, 32, -6, 94, 2582, 662, -52, 32
OFFSET
1,3
EXAMPLE
For n = 4, A007955(n) = b(n): a(4) = b(1)*mu(1) + b(2)*mu(2) + b(4)*mu(4) = 1*1 + 2*(-1) + 8*0 = -1.
MATHEMATICA
a[n_] := DivisorSum[n, #^(DivisorSigma[0, #]/2) * MoebiusMu[#] &]; Array[a, 60] (* Amiram Eldar, Aug 06 2024 *)
CROSSREFS
Sequence in context: A354115 A230600 A025506 * A267381 A061655 A009830
KEYWORD
sign
AUTHOR
Jaroslav Krizek, Apr 02 2010
EXTENSIONS
More terms from Amiram Eldar, Aug 06 2024
STATUS
approved