A046779 Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 3 (mod 4).

0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 4, 0, 5, 0, 12, 0, 16, 0, 30, 0, 41, 0, 70, 0, 95, 0, 150, 0, 203, 0, 309, 0, 413, 0, 608, 0, 807, 0, 1161, 0, 1529, 0, 2154, 0, 2819, 0, 3911, 0, 5086, 0, 6951, 0, 8994, 0, 12146, 0, 15633, 0, 20881, 0, 26751, 0, 35392, 0, 45137, 0, 59197