a(n) = least positive integer > a(n-1) and not (a(i)+a(j))^2 - a(k)^2 for 1<=i<j<k<=n.

Terms

a(0) =1a(1) =3a(2) =4a(3) =5a(4) =6a(5) =7a(6) =8a(7) =9a(8) =10a(9) =11a(10) =12a(11) =14a(12) =16a(13) =18a(14) =20a(15) =22a(16) =26a(17) =27a(18) =30a(19) =31a(20) =34a(21) =35a(22) =38a(23) =39a(24) =42a(25) =43a(26) =46a(27) =47a(28) =49a(29) =50