A059340

View A059340 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.

• A059340: Triangle T(n,k) of numbers with e.g.f. exp((exp((1+x)*y)-1)/(1+x)), k=0..n-1. (identification, match triangle)
  A008278 → x ↦ x+1 (shift +1)
  1 · 2, 1 · 5, 5, 1 · 15, 23, 10, 1 … row sums 1, 3, 11, 49, 257, 1539, 10299, 75905, …
  A059340 (−∞, −1] nonnegative
• A008278 → x ↦ x+1 (shift +1) → reverse (match reversed triangle)
  1 · 1, 2 · 1, 5, 5 · 1, 10, 23, 15 … row sums 1, 3, 11, 49, 257, 1539, 10299, 75905, …
  (−∞, 0] nonnegative
• A106800 → reverse (shift +1) → x ↦ x/(x+1) (match reversed triangle)
  1 · 0, 1 · 0, 1, 2 · 0, 1, 5, 5 … row sums 1, 1, 3, 11, 49, 257, 1539, 10299, …
  [−1, 0] nonnegative
• A008277 → x ↦ x/(x+1) (match reversed triangle)
  1 · 1, 2 · 1, 5, 5 · 1, 10, 23, 15 … row sums 1, 3, 11, 49, 257, 1539, 10299, 75905, …
  [−1, 0] nonnegative
• A008278 → x ↦ x+1 (match triangle)
  1 · 2, 1 · 5, 5, 1 · 15, 23, 10, 1 … row sums 1, 3, 11, 49, 257, 1539, 10299, 75905, …
  (−∞, −1] nonnegative
• A106800 → x ↦ x+1 (match triangle)
  1 · 1 · 2, 1 · 5, 5, 1 … row sums 1, 1, 3, 11, 49, 257, 1539, 10299, …
  (−∞, −1] nonnegative