a(1) = 50 and for any n > 0, a(n+1)^2 is the smallest square that begins with a(n).

Terms

a(0) =50a(1) =71a(2) =267a(3) =517a(4) =2274a(5) =1508a(6) =3884a(7) =1971a(8) =444a(9) =667a(10) =817a(11) =286a(12) =535a(13) =732a(14) =856a(15) =2926a(16) =541a(17) =736a(18) =858a(19) =293a(20) =542a(21) =233a(22) =483a(23) =695a(24) =834a(25) =2888a(26) =16995a(27) =41225a(28) =20304a(29) =4506