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

Terms

a(0) =4a(1) =12a(2) =49a(3) =136a(4) =343a(5) =388a(6) =436a(7) =820a(8) =884a(9) =952a(10) =1024a(11) =1175a(12) =1336a(13) =1420a(14) =1508a(15) =1690a(16) =1884a(17) =2187a(18) =2295a(19) =2523a(20) =2640a(21) =2760a(22) =3256a(23) =3384a(24) =3516a(25) =4516a(26) =4668a(27) =4977a(28) =5463a(29) =5800