A034031 Numbers that are primitively but not imprimitively represented by x^2+2y^2.

1, 3, 6, 11, 17, 18, 33, 34, 38, 43, 51, 57, 66, 67, 82, 83, 86, 89, 102, 113, 114, 118, 123, 129, 131, 139, 146, 171, 177, 179, 187, 193, 194, 198, 201, 209, 214, 219, 227, 233, 241, 242, 246, 249, 257, 258, 262, 267, 274, 283, 291, 307, 321, 323