A203646

View A203646 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.

• A069138: Triangle formed by multiplying Stirling numbers of 2nd kind S2(n,m) (A008277) by m+1. (match row sums)
  A008277 → θ+2 (shift +1)
  2 · 2, 3 · 2, 9, 4 · 2, 21, 24, 5 … row sums 2, 5, 15, 52, 203, 877, 4140, 21147, …
  A069138 (−∞, 0] nonnegative
• A008277: Triangle of Stirling numbers of the second kind, S2(n,k), n >= 1, 1 <= k <= n. (match row sums)
  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 row sums)
  1 · 1 · 1, 1 · 1, 3, 1 … row sums 1, 1, 2, 5, 15, 52, 203, 877, …
  A106800 (−∞, 0) nonnegative
• A106800 → reverse (shift +1) → θ+1 (match row sums)
  1 · 0, 2 · 0, 2, 3 · 0, 2, 9, 4 … row sums 1, 2, 5, 15, 52, 203, 877, 4140, …
  (−∞, 0] nonnegative
• A106800 → reverse (shift +1) → reverse (match row sums)
  1 · 1 · 1, 1 · 1, 3, 1 … row sums 1, 1, 2, 5, 15, 52, 203, 877, …
  (−∞, 0] nonnegative
• A008277 → θ+2 (shift +1) → reverse (match row sums)
  2 · 3, 2 · 4, 9, 2 · 5, 24, 21, 2 … row sums 2, 5, 15, 52, 203, 877, 4140, 21147, …
  (−∞, 0] nonnegative
• A048993: Triangle of Stirling numbers of 2nd kind, S(n,k), n >= 0, 0 <= k <= n. (match row sums)
  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
• A008278: Reflected triangle of Stirling numbers of 2nd kind, S(n,n-k+1), n >= 1, 1 <= k <= n. (match row sums)
  1 · 1, 1 · 1, 3, 1 · 1, 6, 7, 1 … row sums 1, 2, 5, 15, 52, 203, 877, 4140, …
  A008278 (−∞, 0) nonnegative
• A023531 → basis A008277 (match row sums)
  1 · 1, 1 · 1, 3, 1 · 1, 7, 6, 1 … row sums 1, 2, 5, 15, 52, 203, 877, 4140, …
  (−∞, 0] nonnegative