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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 (list; graph; refs; listen; history; text; internal format)
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. Adams-Watters, Sep 16 2011

STATUS

approved

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Last modified August 4 19:54 EDT 2020. Contains 336202 sequences. (Running on oeis4.)