A049458

View A049458 at the OEIS

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.

• A049458: Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] Product_{m=1..n} (x - m - r), with r = 2. (identification, match triangle)
  A028338 → x ↦ −2x+5
  1 · -3, 1 · 12, -7, 1 · -60, 47, -12, 1 … row sums 1, -2, 6, -24, 120, -720, 5040, -40320, …
  A049458 [5/2, ∞) rational roots