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) =2a(2) =4a(3) =5a(4) =6a(5) =7a(6) =8a(7) =9a(8) =10a(9) =12a(10) =14a(11) =16a(12) =18a(13) =20a(14) =22a(15) =23a(16) =24a(17) =26a(18) =27a(19) =28a(20) =30a(21) =31a(22) =34a(23) =35a(24) =38a(25) =39a(26) =42a(27) =43a(28) =46a(29) =48