A085478

View A085478 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.

• A085478: Triangle read by rows: T(n, k) = binomial(n + k, 2*k). (identification, match triangle)
  1 · 1, 1 · 1, 3, 1 · 1, 6, 5, 1 … row sums 1, 2, 5, 13, 34, 89, 233, 610, …
  A085478 (−4, 0) nonnegative
• A054142: Triangular array binomial(2*n-k, k), k=0..n, n >= 0. (match reversed triangle)
  1 · 1, 1 · 1, 3, 1 · 1, 5, 6, 1 … row sums 1, 2, 5, 13, 34, 89, 233, 610, …
  A054142 (−∞, 0) nonnegative
• A085478 → reverse (match reversed triangle)
  1 · 1, 1 · 1, 3, 1 · 1, 5, 6, 1 … row sums 1, 2, 5, 13, 34, 89, 233, 610, …
  (−∞, 0] nonnegative
• A165253: Triangle T(n,k), read by rows given by [1,0,1,0,0,0,0,0,0,...] DELTA [0,1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. (match triangle)
  1 · 1 · 1, 1 · 1, 3, 1 … row sums 1, 1, 2, 5, 13, 34, 89, 233, …
  A165253 (−4, 0) nonnegative
• A054142 → reverse (match triangle)
  1 · 1, 1 · 1, 3, 1 · 1, 6, 5, 1 … row sums 1, 2, 5, 13, 34, 89, 233, 610, …
  (−∞, 0] nonnegative