Integers k such that (k^2 + (k+1)^2) has no square proper substring.

Terms

a(0) =0a(1) =1a(2) =3a(3) =6a(4) =11a(5) =18a(6) =36a(7) =43a(8) =56a(9) =61a(10) =106a(11) =136a(12) =168a(13) =181a(14) =206a(15) =411a(16) =431a(17) =511a(18) =518a(19) =536a(20) =606a(21) =613a(22) =1056a(23) =1068a(24) =1388a(25) =1631a(26) =1636a(27) =1668a(28) =1686a(29) =1693