A094965A continued fraction transformation of e.

2, 1, 2, 6, 6, 7, 1, 4, 1, 1, 0, 7, 5, 2, 9, 7, …

The first 8 terms appear at position 33,386.

…16664918257815467729200521266714346320963789185232321501…
position 33,386
termsstringfirst positionoccurrences
126100,002,410
2219310,000,534
3212711999,216
4212610,46199,709
52126610,4619,976
621266733,3861,007
7212667133,386103
82126671433,3869
9212667141903,010,4081
102126671411not within 1,000,000,0000
1121266714110not within 1,000,000,0000
12212667141107not within 1,000,000,0000

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