A051379

View A051379 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.

• A051379: Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] Product_{m=1..n} (x - m - r), with r = 7. (identification, match triangle)
  A028338 → x ↦ −2x+15
  1 · -8, 1 · 72, -17, 1 · -720, 242, -27, 1 … row sums 1, -7, 56, -504, 5040, -55440, 665280, …
  A051379 [15/2, ∞) rational roots