a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.

Terms

a(0) =3a(1) =27a(2) =54a(3) =129a(4) =194a(5) =209a(6) =341a(7) =374a(8) =614a(9) =594a(10) =854a(11) =1106a(12) =1314a(13) =1154a(14) =1286a(15) =1746a(16) =1634a(17) =1881a(18) =2141a(19) =2246a(20) =2609a(21) =2889a(22) =3461a(23) =3366a(24) =3449a(25) =3506a(26) =4241a(27) =4289a(28) =5066a(29) =4826