A008517

View A008517 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.

• A008517: Second-order Eulerian triangle T(n,k), 1 <= k <= n. (identification, match triangle)
  1 · 1, 2 · 1, 8, 6 · 1, 22, 58, 24 … row sums 1, 3, 15, 105, 945, 10395, 135135, …
  A008517 (−∞, 0) nonnegative
• A288874: Row reversed version of triangle A201637 (second-order Eulerian triangle). (match reversed triangle)
  A201637 → reverse (shift +1)
  1 · 0, 1 · 0, 2, 1 · 0, 6, 8, 1 … row sums 1, 1, 3, 15, 105, 945, 10395, 135135, …
  A288874 (−∞, 0] nonnegative
• A112007: Coefficient triangle for polynomials used for o.g.f.s for unsigned Stirling1 diagonals. (match reversed triangle)
  1 · 2, 1 · 6, 8, 1 · 24, 58, 22, 1 … row sums 1, 3, 15, 105, 945, 10395, 135135, …
  A112007 (−∞, 0) nonnegative
• A163936: Triangle related to the o.g.f.s. of the right-hand columns of A130534 (E(x,m=1,n)). (match reversed triangle)
  1 · 1 · 2, 1 · 6, 8, 1 … row sums 1, 1, 3, 15, 105, 945, 10395, 135135, …
  A163936 (−∞, 0) nonnegative
• A340556: E2(n, k), the second-order Eulerian numbers with E2(0, k) = δ_{0, k}. Triangle read by rows, E2(n, k) for 0 <= k <= n. (match triangle)
  A163936 → reverse
  1 · 0, 1 · 0, 1, 2 · 0, 1, 8, 6 … row sums 1, 1, 3, 15, 105, 945, 10395, 135135, …
  A340556 (−∞, 0] nonnegative
• A201637: Triangle of second-order Eulerian numbers T(n,k) (n>=0, 0 <= k <= n) read by rows. (match triangle)
  1 · 1 · 1, 2 · 1, 8, 6 … row sums 1, 1, 3, 15, 105, 945, 10395, 135135, …
  A201637 (−∞, 0) nonnegative