Sum over all partitions lambda of n into 3 distinct parts of Product_{i:lambda} prime(i).

Terms

a(0) =30a(1) =42a(2) =136a(3) =293a(4) =551a(5) =892a(6) =1765a(7) =2570a(8) =4273a(9) =6747a(10) =9770a(11) =13958a(12) =21206a(13) =28280a(14) =39702a(15) =54913a(16) =72227a(17) =94682a(18) =127095a(19) =160046a(20) =206119a(21) =263581a(22) =327790a(23) =406354a(24) =512372a(25) =616764a(26) =754412a(27) =921169a(28) =1100165a(29) =1314196