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A034718 Dirichlet convolution of b_n=n with b_n with b_n. 1
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; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..55.

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, May 06 2005

Dirichlet g.f.: zeta^3(x-1)

Multiplicative with a(p^e) = p^e * (e+2 choose 2) . Mitch Harris Jun 27, 2005.

a(n) = n*A007425(n). Dirichlet convolution of A000027 by A038040. - R. J. Mathar, Mar 30 2011

CROSSREFS

Sequence in context: A033705 A033704 A121592 * A215528 A155577 A084431

Adjacent sequences:  A034715 A034716 A034717 * A034719 A034720 A034721

KEYWORD

nonn,mult

AUTHOR

Erich Friedman

STATUS

approved

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Last modified March 22 22:17 EDT 2017. Contains 283901 sequences.