A136767 n! never ends in this many 0's in base 4.
6, 10, 14, 18, 22, 29, 30, 34, 38, 45, 46, 53, 57, 61, 62, 66, 70, 77, 78, 85, 89, 93, 94, 101, 105, 109, 113, 117, 124, 125, 126, 130, 134, 141, 142, 149, 153, 157, 158, 165, 169, 173, 177, 181, 188, 189, 190, 197, 201, 205, 209, 213, 220, 221, 225, 229, 236
Offset: 1