A091334 Number of 1's required to build n using +, -, *, ^ and parentheses.

1, 2, 3, 4, 5, 5, 6, 5, 5, 6, 7, 7, 8, 8, 7, 6, 7, 7, 8, 8, 9, 9, 9, 8, 7, 7, 6, 7, 8, 9, 8, 7, 8, 9, 8, 7, 8, 9, 10, 10, 11, 11, 12, 11, 10, 11, 10, 9, 8, 9, 10, 9, 9, 8, 9, 9, 10, 10, 11, 11, 10, 9, 8, 7, 8, 9, 10, 11, 11, 10, 10, 9, 10, 10, 10, 11, 11, 10, 9, 8, 7, 8, 9, 10, 11, 12, 11, 12, 12