A038207

View A038207 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.

• A038207: Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j). (identification, match triangle)
  1 · 2, 1 · 4, 4, 1 · 8, 12, 6, 1 … row sums 1, 3, 9, 27, 81, 243, 729, 2187, …
  A038207 (−∞, −1] nonnegative rational roots
• A013609: Triangle of coefficients in expansion of (1+2*x)^n. (match reversed triangle)
  1 · 1, 2 · 1, 4, 4 · 1, 6, 12, 8 … row sums 1, 3, 9, 27, 81, 243, 729, 2187, …
  A013609 (−∞, 0) [−1, 0] nonnegative rational roots
• A159854 → x ↦ x/(x+1) (match reversed triangle)
  0, 0, 1 · 0, 0, 1, 2 · 0, 0, 1, 4, 4 … row sums 1, 3, 9, 27, 81, 243, 729, 2187, …
  [−1, 0] nonnegative rational roots
• basis-map coefficients of A026729 → basis A013609 (match reversed triangle)
  1 · 1, 2 · 1, 4, 4 · 1, 6, 12, 8 … row sums 1, 3, 9, 27, 81, 243, 729, 2187, …
  (−∞, 0] nonnegative rational roots