A001715

View A001715 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.

• A143491 → basis A007318 (match row sums)
  12, 7, 1 · 60, 47, 12, 1 · 360, 342, 119, 18, 1 … row sums 20, 120, 840, 6720, 60480, 604800, …
  (−∞, 0] nonnegative rational roots
• A144697: Triangle of 3-Eulerian numbers. (match row sums)
  1 · 1, 3 · 1, 10, 9 · 1, 25, 67, 27 … row sums 1, 4, 20, 120, 840, 6720, 60480, …
  A144697 (−∞, 0) nonnegative
• A136124 → basis A007318 (match row sums)
  1 · 3, 1 · 12, 7, 1 · 60, 47, 12, 1 … row sums 1, 4, 20, 120, 840, 6720, 60480, …
  (−∞, 0] nonnegative rational roots
• A137320 → x ↦ x+1 (match row sums)
  1 · 2, 2 · 6, 10, 4 · 24, 52, 36, 8 … row sums 1, 4, 20, 120, 840, 6720, 60480, …
  (−∞, −1] nonnegative rational roots
• Triangle T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = x + 2. (match row sums)
  4, 12, 4 · 8, 52, 52, 8 · 16, 196, 416, 196, 16 … row sums 20, 120, 840, 6720, 60480, 604800, …
  (−∞, 0) nonnegative
• A132393 → basis A013610 (match row sums)
  1 · 1, 3 · 2, 9, 9 · 6, 33, 54, 27 … row sums 1, 4, 20, 120, 840, 6720, 60480, …
  (−∞, 0] nonnegative rational roots