A079935

View A079935 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.

• Triangle read by rows: T(n,k) number of tilings of a 2n X 3 grid by dominoes, 2k of which are in a vertical position (0<=k<=n). (match row sums)
  1, 6, 4 · 1, 12, 20, 8 · 1, 20, 60, 56, 16 … row sums 11, 41, 153, 571, 2131, 7953, 29681, …
  (−2, 0) nonnegative
• A054142 → x ↦ x/(x+1) (match row sums)
  1 · 1, 2 · 1, 5, 5 · 1, 8, 19, 13 … row sums 1, 3, 11, 41, 153, 571, 2131, 7953, …
  [−1, 0] nonnegative
• A123519 → reverse (match row sums)
  4, 6, 1 · 8, 20, 12, 1 · 16, 56, 60, 20, 1 … row sums 11, 41, 153, 571, 2131, 7953, 29681, …
  (−∞, 0] nonnegative
• A085478 → x ↦ x+1 (match row sums)
  1 · 1 · 2, 1 · 5, 5, 1 … row sums 1, 1, 3, 11, 41, 153, 571, 2131, …
  (−5, −1) nonnegative