A105752
identification: the entry's rule defines the sequence for every index; tail: the sequence is the entry's tail after some prefix rows; match_*: finite agreement only.
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A049459: Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] Product_{m=1..n} (x - m - r), with r = 3.
(match row sums)
A028338 → x ↦ −2x+71 · -4, 1 · 20, -9, 1 · -120, 74, -15, 1 … row sums 1, -3, 12, -60, 360, -2520, 20160, …