a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.

Terms

a(0) =1a(1) =4a(2) =18a(3) =53a(4) =134a(5) =154a(6) =170a(7) =319a(8) =348a(9) =373a(10) =400a(11) =460a(12) =522a(13) =552a(14) =588a(15) =661a(16) =741a(17) =858a(18) =899a(19) =985a(20) =1033a(21) =1081a(22) =1275a(23) =1324a(24) =1375a(25) =1769a(26) =1829a(27) =1949a(28) =2143a(29) =2276