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A288417 a(n) = Sum_{d|n} A000593(n/d). 12
1, 2, 5, 3, 7, 10, 9, 4, 18, 14, 13, 15, 15, 18, 35, 5, 19, 36, 21, 21, 45, 26, 25, 20, 38, 30, 58, 27, 31, 70, 33, 6, 65, 38, 63, 54, 39, 42, 75, 28, 43, 90, 45, 39, 126, 50, 49, 25, 66, 76, 95, 45, 55, 116, 91, 36, 105, 62, 61, 105, 63, 66, 162, 7, 105, 130, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Multiplicative because this sequence is the Dirichlet convolution of A000012 and A000593 which are both multiplicative. - Andrew Howroyd, Jul 27 2018

LINKS

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

FORMULA

L.g.f.: log(Product_{k>=1} (1 + x^k)^(sigma(k)/k)) = Sum_{n>=1} a(n)*x^n/n. - Ilya Gutkovskiy, Jun 19 2018

PROG

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

CROSSREFS

Cf. A000012.

Sum_{d|n} d^k*A000593(n/d): this sequence (k=0), A109386 (k=1), A288418 (k=2), A288419 (k=3), A288420 (k=4).

Sequence in context: A308021 A191707 A192177 * A159016 A289108 A246364

Adjacent sequences:  A288414 A288415 A288416 * A288418 A288419 A288420

KEYWORD

nonn,mult

AUTHOR

Seiichi Manyama, Jun 09 2017

STATUS

approved

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Last modified June 5 18:48 EDT 2020. Contains 334854 sequences. (Running on oeis4.)