A031056 a(n)=least k such that base 8 representation of n begins at s(k), where s=A031055.

6, 5, 4, 3, 2, 1, 9, 6, 100, 85, 69, 53, 37, 21, 88, 86, 5, 82, 67, 51, 35, 19, 72, 70, 68, 4, 64, 49, 33, 17, 56, 54, 52, 50, 3, 46, 31, 15, 40, 38, 36, 34, 32, 2, 28, 13, 24, 22, 20, 18, 16, 14, 1, 10, 8, 105, 89, 73, 57, 41, 25, 9, 121, 102