A053220

View A053220 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.

• A347823: Triangle read by rows: T(n,k) = (n+k+1)*binomial(n,k), 0 <= k <= n. (match row sums)
  A007318 → θ+1+n
  1 · 2, 3 · 3, 8, 5 · 4, 15, 18, 7 … row sums 1, 5, 16, 44, 112, 272, 640, 1472, …
  A347823 (−∞, 0] nonnegative rational roots
• A007318 → θ+1+n → reverse (match row sums)
  1 · 3, 2 · 5, 8, 3 · 7, 18, 15, 4 … row sums 1, 5, 16, 44, 112, 272, 640, 1472, …
  (−∞, 0] nonnegative rational roots