A008277

View A008277 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.

• A008277: Triangle of Stirling numbers of the second kind, S2(n,k), n >= 1, 1 <= k <= n. (identification, match triangle)
  1 · 1, 1 · 1, 3, 1 · 1, 7, 6, 1 … row sums 1, 2, 5, 15, 52, 203, 877, 4140, …
  A008277 (−∞, 0) nonnegative
• A106800: Triangle of Stirling numbers of 2nd kind, S(n, n-k), n >= 0, 0 <= k <= n. (match reversed triangle)
  1 · 1 · 1, 1 · 1, 3, 1 … row sums 1, 1, 2, 5, 15, 52, 203, 877, …
  A106800 (−∞, 0) nonnegative
• A106800 → reverse (shift +1) → reverse (match reversed triangle)
  1 · 1 · 1, 1 · 1, 3, 1 … row sums 1, 1, 2, 5, 15, 52, 203, 877, …
  (−∞, 0] nonnegative
• A008278: Reflected triangle of Stirling numbers of 2nd kind, S(n,n-k+1), n >= 1, 1 <= k <= n. (match reversed triangle)
  1 · 1, 1 · 1, 3, 1 · 1, 6, 7, 1 … row sums 1, 2, 5, 15, 52, 203, 877, 4140, …
  A008278 (−∞, 0) nonnegative
• A048993: Triangle of Stirling numbers of 2nd kind, S(n,k), n >= 0, 0 <= k <= n. (match triangle)
  A106800 → reverse (shift +1)
  1 · 0, 1 · 0, 1, 1 · 0, 1, 3, 1 … row sums 1, 1, 2, 5, 15, 52, 203, 877, …
  A048993 (−∞, 0] nonnegative
• A023531 → basis A008277 (match triangle)
  1 · 1, 1 · 1, 3, 1 · 1, 7, 6, 1 … row sums 1, 2, 5, 15, 52, 203, 877, 4140, …
  (−∞, 0] nonnegative