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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
OFFSET
1,2
LINKS
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
KEYWORD
nonn
AUTHOR
EXTENSIONS
Edited with more terms by Franklin T. Adams-Watters, Sep 16 2011
STATUS
approved