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A141667 Number of partitions of n times number of divisors of n. 1

%I

%S 1,4,6,15,14,44,30,88,90,168,112,462,202,540,704,1155,594,2310,980,

%T 3762,3168,4008,2510,12600,5874,9744,12040,22308,9130,44832,13684,

%U 50094,40572,49240,59532,161793,43274,104060,124740,298704,89166,425392,126522,451050

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

%H G. C. Greubel, <a href="/A141667/b141667.txt">Table of n, a(n) for n = 1..5000</a>

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

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

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

%Y Cf. A000005, A000041, A144300, A195364.

%K nonn

%O 1,2

%A _Roger L. Bagula_ and _Gary W. Adamson_, Sep 06 2008

%E Edited with more terms by _Franklin T. Adams-Watters_, Sep 16 2011

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Last modified October 1 13:04 EDT 2020. Contains 337443 sequences. (Running on oeis4.)