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 A186409 #11 Mar 30 2012 17:34:05 %S A186409 3,6,20,54,275,556,1965,3498,10206,43453,68135,242812,536104,785437, %T A186409 1644136,4712040,12760906,17591088,44736332,81493581,109311863, %U A186409 257863391,448980978,1007135164,2840344772,4695605081,6015397025,9803584533,12473509636,20063812526 %N A186409 Total number of parts in all partitions of prime(n). %F A186409 a(n) = A006128(A000040(n)) = A006128(prime(n)). %e A186409 For n = 3 the third prime number is 5; the partitions of 5 are [5], [4, 1], [3, 2], [3, 1, 1], [2, 2, 1], [2, 1, 1, 1], [1, 1, 1, 1, 1]; there are 20 parts, so a(3) = 20. %Y A186409 Cf. A024938, A084993, A085410, A182723. %K A186409 nonn %O A186409 1,1 %A A186409 _Omar E. Pol_, Aug 11 2011