A001793

View A001793 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)² → reverse (match row sums)
  1 · 4, 1 · 9, 8, 1 · 16, 27, 12, 1 … row sums 1, 5, 18, 56, 160, 432, 1120, 2816, …
  (−∞, 0] nonnegative
• A007318 → (1/2+(1/2)n)θ+1+n → reverse (match row sums)
  1 · 3, 2 · 6, 9, 3 · 10, 24, 18, 4 … row sums 1, 5, 18, 56, 160, 432, 1120, 2816, …
  (−∞, 0] nonnegative rational roots
• A007318 → θ+1 → D+1 (match row sums)
  1 · 3, 2 · 5, 10, 3 · 7, 24, 21, 4 … row sums 1, 5, 18, 56, 160, 432, 1120, 2816, …
  (−∞, 0] nonnegative
• A124932: Triangle read by rows: T(n,k) = k*(k+1)*binomial(n,k)/2 (1 <= k <= n). (match row sums)
  A007318 → (1/2+(1/2)n)θ+1+n
  1 · 2, 3 · 3, 9, 6 · 4, 18, 24, 10 … row sums 1, 5, 18, 56, 160, 432, 1120, 2816, …
  A124932 (−∞, 0] nonnegative rational roots
• A125092: Triangle read by rows: T(n,k) = (k+1)^2*binomial(n,k) (0 <= k <= n). (match row sums)
  A007318 → (θ+1)²
  1 · 1, 4 · 1, 8, 9 · 1, 12, 27, 16 … row sums 1, 5, 18, 56, 160, 432, 1120, 2816, …
  A125092 (−∞, 0] nonnegative