This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A272024 #34 May 04 2016 08:50:32 %S A272024 1,3,5,15,11,77,22,176,101,385,77,3718,135,1575,1575,6842,385,31185, %T A272024 627,53174,8349,17977,1575,966467,6842,53174,37338,526823,5604, %U A272024 5392783,8349,1505499,147273,386155,147273,64112359,26015,966467,526823,56634173,53174,118114304,75175,26543660,12132164,5392783 %N A272024 Number of partitions of the sum of the divisors of n. %C A272024 Also number of partitions of the total number of parts in the partitions of n into equal parts. %C A272024 Note that one of the partitions of the sum of the divisors of n is also the list of divisors of n in decreasing order, see example. %H A272024 Seiichi Manyama, <a href="/A272024/b272024.txt">Table of n, a(n) for n = 1..10000</a> %F A272024 a(n) = p(sigma(n)) = A000041(A000203(n)). %e A272024 For n = 9 the sum of the divisors of 9 is 1 + 3 + 9 = 13 and the number of partitions of 13 is A000041(13) = 101, so a(9) = 101. %e A272024 Note that one of the 101 partitions of 13 is [9, 3, 1] and it is also the list of divisors of 9 in decreasing order. %t A272024 Table[PartitionsP@ DivisorSigma[1, n], {n, 46}] (* _Michael De Vlieger_, Apr 19 2016 *) %o A272024 (PARI) a(n) = numbpart(sigma(n)); \\ _Michel Marcus_, Apr 19 2016 %Y A272024 Cf. A000041, A000203, A056538, A058699, A072861, A139041, A272209. %K A272024 nonn %O A272024 1,2 %A A272024 _Omar E. Pol_, Apr 19 2016