A031057Write 2n-1 in base 8 and juxtapose.

1, 3, 5, 7, 1, 1, 1, 3, 1, 5, 1, 7, 2, 1, 2, 3, …

The first 4 terms appear at position 4,425.

…0990796547376125517656751357517829666454779174501129…
position 4,425
termsstringfirst positionoccurrences
11199,997,334
2131109,998,738
31352,727998,705
413574,42599,956
5135716,1129,934
61357116,112990
713571116,11291
8135711136,1127
9135711131973,077,8281
101357111315not within 1,000,000,0000
1113571113151not within 1,000,000,0000
12135711131517not within 1,000,000,0000

Searched the first 1,000,000,000 digits. Strings longer than 12 digits are not indexed.