Numbers n such that n^k is of the form (a^2 + b^4)/2 for all k > 0 (a, b > 0).

Terms

a(0) =1a(1) =5a(2) =16a(3) =25a(4) =41a(5) =80a(6) =81a(7) =125a(8) =256a(9) =400a(10) =405a(11) =425a(12) =625a(13) =656a(14) =841a(15) =1225a(16) =1280a(17) =1296a(18) =1681a(19) =2000a(20) =2025a(21) =2401a(22) =3125a(23) =3321a(24) =3721a(25) =4096a(26) =6400a(27) =6480a(28) =6561a(29) =6800