A046766 Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 4).

1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 4, 1, 2, 7, 8, 2, 7, 16, 13, 7, 20, 34, 23, 20, 46, 64, 42, 51, 99, 119, 80, 115, 200, 208, 158, 249, 377, 365, 315, 498, 686, 635, 617, 960, 1213, 1105, 1188, 1770, 2093, 1924, 2228, 3171, 3554, 3351, 4072, 5523, 5965, 5808, 7262