Total number of prime parts in all compositions of n.

Terms

a(0) =0a(1) =0a(2) =1a(3) =3a(4) =7a(5) =18a(6) =42a(7) =98a(8) =222a(9) =497a(10) =1100a(11) =2413a(12) =5250a(13) =11350a(14) =24398a(15) =52193a(16) =111180a(17) =235949a(18) =499074a(19) =1052502a(20) =2213710a(21) =4644833a(22) =9724492a(23) =20318637a(24) =42376578a(25) =88231765a(26) =183420748a(27) =380755932a(28) =789340736a(29) =1634339217