A030335 a(n)=least k such that base 3 representation of n begins as s(k), where s=A003137.

1, 2, 3, 5, 1, 9, 2, 8, 15, 3, 21, 20, 5, 6, 33, 1, 7, 42, 34, 9, 2, 23, 11, 8, 13, 40, 69, 15, 77, 81, 3, 89, 93, 21, 101, 76, 24, 20, 87, 27, 5, 129, 30, 6, 141, 33, 47, 1, 36, 31, 7, 12, 39, 177, 142, 42, 95, 131, 34, 201, 9, 48, 14, 2, 51, 23