A141667 - OEIS

A141667

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

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