A321331

View A321331 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.

• A321331: Triangle read by rows: T(n, k) = (k+1)*S2(n+1, k+1), for n >= k >= 0, and S2 = A048993 (Stirling2). (identification, match triangle)
  A008277 → θ+1
  1 · 1, 2 · 1, 6, 3 · 1, 14, 18, 4 … row sums 1, 3, 10, 37, 151, 674, 3263, 17007, …
  A321331 (−∞, 0] nonnegative
• A008277 → θ+1 → reverse (match reversed triangle)
  1 · 2, 1 · 3, 6, 1 · 4, 18, 14, 1 … row sums 1, 3, 10, 37, 151, 674, 3263, 17007, …
  (−∞, 0] nonnegative
• A008277 → θ+1 (match triangle)
  1 · 1, 2 · 1, 6, 3 · 1, 14, 18, 4 … row sums 0, 1, 3, 10, 37, 151, 674, 3263, …
  (−∞, 0] nonnegative