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A034718
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Dirichlet convolution of b_n=n with b_n with b_n.
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1
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1, 6, 9, 24, 15, 54, 21, 80, 54, 90, 33, 216, 39, 126, 135, 240, 51, 324, 57, 360, 189, 198, 69, 720, 150, 234, 270, 504, 87, 810, 93, 672, 297, 306, 315, 1296, 111, 342, 351, 1200, 123, 1134, 129, 792, 810, 414, 141, 2160, 294, 900, 459, 936, 159, 1620, 495
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = Sum{k*l*m = n} k*l*m, for positive integer k, l, m. This equals one sixth of the same sum over all integers. - Ralf Stephan (ralf(AT)ark.in-berlin.de), May 06 2005
Dirichlet g.f.: zeta^3(x-1)
Multiplicative with a(p^e) = p^e * (e+2 choose 2) . Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) Jun 27, 2005.
a(n) = n*A007425(n). Dirichlet convolution of A000027 by A038040. - R. J. Mathar, Mar 30 2011
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CROSSREFS
| Sequence in context: A033705 A033704 A121592 * A155577 A084431 A176498
Adjacent sequences: A034715 A034716 A034717 * A034719 A034720 A034721
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KEYWORD
| nonn,mult
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AUTHOR
| Erich Friedman (erich.friedman(AT)stetson.edu)
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