A095701 Define string S_0 to be the null sequence; string S_n is derived from string S_{n-1} by inserting n's in the rightmost n gaps; sequence gives limit S_n as n -> infinity.

2, 3, 1, 4, 3, 4, 5, 2, 5, 4, 6, 5, 6, 3, 6, 7, 5, 7, 6, 7, 4, 8, 7, 8, 6, 8, 7, 8, 9, 5, 9, 8, 9, 7, 9, 8, 10, 9, 10, 6, 10, 9, 10, 8, 10, 11, 9, 11, 10, 11, 7, 11, 10, 11, 9, 12, 11, 12, 10, 12, 11, 12, 8, 12, 11, 12, 13, 10, 13, 12, 13, 11, 13, 12, 13, 9, 13, 12, 14, 13, 14, 11, 14, 13, 14