A051380

View A051380 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.

• A051380: Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] Product_{m=1..n} (x - m - r), with r = 8. (identification, match triangle)
  A028338 → x ↦ −2x+17
  1 · -9, 1 · 90, -19, 1 · -990, 299, -30, 1 … row sums 1, -8, 72, -720, 7920, -95040, 1235520, …
  A051380 [17/2, ∞) rational roots