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