A000488Generalized tangent numbers d_(n,3).

16, 361, 3362, 16384, 55744, 152166, 355688, 739328, 1415232, 2529614, 4261454, 6885376, 10708160, 16054580, 23494584, 33554432, …

The first 2 terms appear at position 55,891.

…43927015497408792731310516361191375770089295648233236…
position 55,891
termsstringfirst positionoccurrences
1164010,001,877
21636155,8919,905
3163613362not within 1,000,000,0000

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