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A288419 a(n) = Sum_{d|n} d^3*A000593(n/d). 7
1, 9, 31, 73, 131, 279, 351, 585, 850, 1179, 1343, 2263, 2211, 3159, 4061, 4681, 4931, 7650, 6879, 9563, 10881, 12087, 12191, 18135, 16406, 19899, 22990, 25623, 24419, 36549, 29823, 37449, 41633, 44379, 45981, 62050, 50691, 61911, 68541, 76635, 68963, 97929 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Multiplicative because this sequence is the Dirichlet convolution of A000578 and A000593 which are both multiplicative. - Andrew Howroyd, Jul 27 2018

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

PROG

(PARI) a(n)={sumdiv(n, d, (n/d)^3*sigma(d>>valuation(d, 2)))} \\ Andrew Howroyd, Jul 27 2018

CROSSREFS

Cf. A000578, A288414.

Sum_{d|n} d^k*A000593(n/d): A288417 (k=0), A109386 (k=1), A288418 (k=2), this sequence (k=3), A288420 (k=4).

Sequence in context: A072887 A133739 A266397 * A168297 A004126 A177342

Adjacent sequences:  A288416 A288417 A288418 * A288420 A288421 A288422

KEYWORD

nonn,mult

AUTHOR

Seiichi Manyama, Jun 09 2017

STATUS

approved

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Last modified September 19 04:52 EDT 2019. Contains 327187 sequences. (Running on oeis4.)