Sum of prime parts, counted without multiplicity, in all compositions of n.

Terms

a(0) =0a(1) =0a(2) =2a(3) =7a(4) =14a(5) =38a(6) =83a(7) =193a(8) =421a(9) =917a(10) =1969a(11) =4210a(12) =8908a(13) =18763a(14) =39287a(15) =81940a(16) =170270a(17) =352726a(18) =728663a(19) =1501711a(20) =3088326a(21) =6339424a(22) =12991312a(23) =26583389a(24) =54323352a(25) =110876435a(26) =226057023a(27) =460432903a(28) =936963134a(29) =1905110662