A001653

View A001653 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.

• A091042 → x ↦ x/(x+1) (match row sums)
  1 · 1, 4 · 1, 12, 16 · 1, 24, 80, 64 … row sums 1, 5, 29, 169, 985, 5741, 33461, …
  [−1, 0] nonnegative
• A297191: Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) regarded as a triangle. (match row sums)
  basis-map coefficients of A297191, shifted → basis A008288
  1 · 1, 3, 1 · 1, 7, 13, 7, 1 … row sums 1, 5, 29, 169, 985, 5741, 33461, …
  A297191 [−3−2√2, −3+2√2] nonnegative
• A013609 → basis A008288 (match row sums)
  1 · 3, 2 · 9, 16, 4 · 27, 82, 52, 8 … row sums 1, 5, 29, 169, 985, 5741, 33461, …
  [−3−2√2, −3+2√2] nonnegative
• A123519 → x ↦ x+1 (match row sums)
  11, 14, 4 · 41, 76, 44, 8 · 153, 372, 324, 120, 16 … row sums 29, 169, 985, 5741, 33461, 195025, …
  (−3, −1) nonnegative
• A103327 → basis A007318 (match row sums)
  1 · 4, 1 · 16, 12, 1 · 64, 80, 24, 1 … row sums 1, 5, 29, 169, 985, 5741, 33461, …
  (−∞, −1] nonnegative
• A232535 → x ↦ x+1 (match row sums)
  1 · 3, 2 · 12, 14, 3 · 48, 80, 37, 4 … row sums 1, 5, 29, 169, 985, 5741, 33461, …
  (−∞, −1] nonnegative
• A085478 → basis A013610 (match row sums)
  1 · 1 · 2, 3 · 5, 15, 9 … row sums 1, 1, 5, 29, 169, 985, 5741, 33461, …
  (−∞, 0] nonnegative