Total sum of prime parts in all compositions of n.

Terms

a(0) =0a(1) =0a(2) =2a(3) =7a(4) =16a(5) =44a(6) =102a(7) =244a(8) =554a(9) =1247a(10) =2772a(11) =6111a(12) =13334a(13) =28916a(14) =62302a(15) =133557a(16) =285020a(17) =605869a(18) =1283362a(19) =2710008a(20) =5706546a(21) =11986171a(22) =25118500a(23) =52529339a(24) =109643310a(25) =228455907a(26) =475250388a(27) =987177924a(28) =2047710144a(29) =4242128909