A000597Central factorial numbers: A008955(n,3).

36, 820, 7645, 44473, 191620, 669188, 1999370, 5293970, 12728936, 28285400, 58856655, 115842675, 217378200, 391367064, 679524340, 1142659012, …

The first term appear at position 285.

…34603486104543266482133936072602491412737245870066…
position 285
termsstringfirst positionoccurrences
1362859,996,522
236820108,66710,017
3368207645not within 1,000,000,0000

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