A081038

View A081038 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.

• A007318 → θ+1 → x ↦ x+1 (match row sums)
  1 · 3, 2 · 8, 10, 3 · 20, 36, 21, 4 … row sums 1, 5, 21, 81, 297, 1053, 3645, 12393, …
  (−∞, −1] nonnegative rational roots
• A007318 → D+1 → x ↦ x/(x+1) (match row sums)
  1 · 2, 3 · 3, 10, 8 · 4, 21, 36, 20 … row sums 1, 5, 21, 81, 297, 1053, 3645, 12393, …
  [−1, 0] nonnegative rational roots
• A007318 → 2θ+1 → x ↦ x/(x+1) (match row sums)
  1 · 1, 4 · 1, 8, 12 · 1, 12, 36, 32 … row sums 1, 5, 21, 81, 297, 1053, 3645, 12393, …
  [−1, 0] nonnegative rational roots
• A013609 → D+1 (match row sums)
  1 · 3, 2 · 5, 12, 4 · 7, 30, 36, 8 … row sums 1, 5, 21, 81, 297, 1053, 3645, 12393, …
  (−∞, 0] nonnegative rational roots
• A013609 → θ+1 (match row sums)
  1 · 1, 4 · 1, 8, 12 · 1, 12, 36, 32 … row sums 1, 5, 21, 81, 297, 1053, 3645, 12393, …
  (−∞, 0] nonnegative rational roots