Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.

Terms

a(0) =1a(1) =2a(2) =4a(3) =5a(4) =8a(5) =10a(6) =13a(7) =16a(8) =20a(9) =25a(10) =32a(11) =37a(12) =40a(13) =52a(14) =58a(15) =64a(16) =80a(17) =85a(18) =100a(19) =128a(20) =130a(21) =148a(22) =160a(23) =208a(24) =232a(25) =256a(26) =320a(27) =340a(28) =400a(29) =512