Neither square nor square + prime.

Terms

a(0) =10a(1) =34a(2) =58a(3) =85a(4) =91a(5) =130a(6) =214a(7) =226a(8) =370a(9) =526a(10) =706a(11) =730a(12) =771a(13) =1255a(14) =1351a(15) =1414a(16) =1906a(17) =2986a(18) =3676a(19) =9634a(20) =21679