Triple
Three of a kind, standing in a row.
The digit string contains three identical adjacent digits, like 1112, 23888 or 900012. Any position counts, and longer runs (quads) are included by definition.
Your record
There are 35,920 of them, about 3.6% — roughly one hit per 28 rolls, the friendliest member of the repetition family. It’s a local condition: no global structure required, just triplets somewhere.
Watch the hidden channel: every round thousand (trailing 000) and every quad is automatically a triple, so it travels with Round Thousand, Quad and Solid. 1000 is the smallest “free triple” round number.
In dice games like Yahtzee, three matching dice score as “three of a kind” — the entry tier. Same here: the triple is the first rung of structural rarity, modest EP but maximum presence.