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A140697
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Mobius transform of A000082.
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1
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1, 5, 11, 18, 29, 55, 55, 72, 96, 145, 131, 198, 181, 275, 319, 288, 305, 480, 379, 522, 605, 655, 551, 792, 720, 905, 864, 990, 869, 1595, 991, 1152, 1441, 1525, 1595, 1728, 1405, 1895, 1991, 2088, 1721, 3025, 1891, 2358, 2784, 2755, 2255, 3168, 2688, 3600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Dirichlet convolution of the sequence of (absolute values of A055615) and A007434. - R. J. Mathar, Feb 27 2011
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LINKS
| Alois P. Heinz, Table of n, a(n) for n = 1..10000
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FORMULA
| Dirichlet g.f. zeta(s-1)*zeta(s-2)/(zeta(2s-2)*zeta(s)). - R. J. Mathar, Feb 27 2011
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EXAMPLE
| a(4) = 18 = (0, -1, 0, 1) dot (1, 6, 12, 24), where (0, -1 0, 1) = row 4 of A054525 and A000082 = (1, 6, 12, 24, 30, 72,...).
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MAPLE
| with (numtheory): a:= n-> add (k^2* mul(1+1/p, p=factorset(k)) *mobius (n/k), k=divisors(n)): seq (a(n), n=1..60); # Alois P. Heinz, Aug 28 2008
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CROSSREFS
| Cf. A000082.
Sequence in context: A056000 A080566 A094684 * A048253 A102174 A140515
Adjacent sequences: A140694 A140695 A140696 * A140698 A140699 A140700
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KEYWORD
| nonn,easy,mult
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), May 23 2008
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EXTENSIONS
| Definition corrected by N. J. A. Sloane (njas(AT)research.att.com), Jul 28 2008
More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 28 2008
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