A133942

View A133942 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.

• A049444: Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] Product_{m=1..n} (x - m - r), with r = 1. (match row sums)
  A028338 → x ↦ −2x+3
  1 · -2, 1 · 6, -5, 1 · -24, 26, -9, 1 … row sums 1, -1, 2, -6, 24, -120, 720, -5040, …
  A049444 [3/2, ∞) rational roots
• basis-map coefficients of A021012 → reverse (match row sums)
  1 · -1 · 2 · -6 … row sums 1, -1, 2, -6, 24, -120, 720, -5040, …
  (−∞, 0] rational roots
• basis-map coefficients of Triangle of coefficients in expansion of x^n in terms of Laguerre polynomials L_n(x). (match row sums)
  1 · 0, -1 · 0, 0, 2 · 0, 0, 0, -6 … row sums 1, -1, 2, -6, 24, -120, 720, -5040, …
  [−1, 0] rational roots