Difference between (smallest square strictly greater than 2^n) and 2^n.

Terms

a(0) =3a(1) =2a(2) =5a(3) =1a(4) =9a(5) =4a(6) =17a(7) =16a(8) =33a(9) =17a(10) =65a(11) =68a(12) =129a(13) =89a(14) =257a(15) =356a(16) =513a(17) =697a(18) =1025a(19) =1337a(20) =2049a(21) =2449a(22) =4097a(23) =4001a(24) =8193a(25) =4417a(26) =16385a(27) =17668a(28) =32769a(29) =24329