A081868 Numbers n such that sum(k=1,n,C(2k,k) mod 3) is even.

1, 2, 3, 10, 11, 28, 29, 36, 37, 38, 39, 82, 83, 90, 91, 92, 93, 108, 109, 110, 111, 118, 119, 244, 245, 252, 253, 254, 255, 270, 271, 272, 273, 280, 281, 324, 325, 326, 327, 334, 335, 352, 353, 360, 361, 362, 363