A120677 a(n) = smallest integer k for which n is an entry of the character table of the symmetric group S_k.

1, 3, 4, 5, 5, 5, 8, 8, 6, 6, 9, 11, 11, 7, 7, 6, 11, 11, 10, 7, 7, 11, 14, 12, 12, 11, 9, 8, 11, 12, 15, 12, 13, 10, 7, 9, 14, 13, 14, 13, 13, 8, 13, 11, 11, 13, 16, 9, 11, 11, 14, 14, 15, 12, 10, 8, 12, 15, 14, 13, 15, 13