

A141667


Number of partitions of n times number of divisors of n.


1



1, 4, 6, 15, 14, 44, 30, 88, 90, 168, 112, 462, 202, 540, 704, 1155, 594, 2310, 980, 3762, 3168, 4008, 2510, 12600, 5874, 9744, 12040, 22308, 9130, 44832, 13684, 50094, 40572, 49240, 59532, 161793, 43274, 104060, 124740, 298704, 89166, 425392, 126522, 451050
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OFFSET

1,2


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000


FORMULA

a(n) = p(n) * d(n) = A000041(n) * A000005(n).


MATHEMATICA

f[n_] = DivisorSigma[0, n]*PartitionsP[n]; Table[f[n], {n, 1, 30}]


PROG

(PARI) al(n)=vector(n, k, numbpart(k)*numdiv(k))


CROSSREFS

Cf. A000005, A000041, A144300, A195364.
Sequence in context: A214901 A284123 A135093 * A048753 A055719 A117883
Adjacent sequences: A141664 A141665 A141666 * A141668 A141669 A141670


KEYWORD

nonn


AUTHOR

Roger L. Bagula and Gary W. Adamson, Sep 06 2008


EXTENSIONS

Edited with more terms by Franklin T. AdamsWatters, Sep 16 2011


STATUS

approved



