A140429

View A140429 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.

• A181371: Triangle read by rows: T(n,k) is the number of ternary words (i.e., finite sequences of 0's, 1's and 2's) of length n having k occurrences of 01's (0 <= k <= floor(n/2)). (match row sums)
  A011973 → x ↦ (1/9)x−1/9
  1 · 3 · 8, 1 · 21, 6 … row sums 1, 3, 9, 27, 81, 243, 729, 2187, …
  A181371 (−∞, 1] nonnegative
• A120910: Triangle read by rows: T(n,k) is the number of ternary words of length n having k levels (n >= 1, 0 <= k <= n-1). A level is a pair of identical consecutive letters. (match row sums)
  3 · 6, 3 · 12, 12, 3 · 24, 36, 18, 3 … row sums 3, 9, 27, 81, 243, 729, 2187, 6561, …
  A120910 (−∞, 0) nonnegative rational roots
• A013609: Triangle of coefficients in expansion of (1+2*x)^n. (match row sums)
  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
• A120909: Triangle read by rows: T(n,k) is the number of ternary words of length n having k runs (i.e., subwords of maximal length) of identical letters (1 <= k <= n). (match row sums)
  3 · 3, 6 · 3, 12, 12 · 3, 18, 36, 24 … row sums 3, 9, 27, 81, 243, 729, 2187, 6561, …
  A120909 (−∞, 0) nonnegative rational roots
• A274498: Triangle read by rows: T(n,k) is the number of ternary words of length n having degree of asymmetry equal to k (n>=0; 0<=k<=n/2). (match row sums)
  1 · 3 · 3, 6 · 9, 18 … row sums 1, 3, 9, 27, 81, 243, 729, 2187, …
  A274498 (−∞, 0] nonnegative rational roots
• A159854 → x ↦ x/(x+1) (match row sums)
  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
• A038207: Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j). (match row sums)
  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
• basis-map coefficients of A026729 → basis A013609 (match row sums)
  1 · 1, 2 · 1, 4, 4 · 1, 6, 12, 8 … row sums 1, 3, 9, 27, 81, 243, 729, 2187, …
  (−∞, 0] nonnegative rational roots
• A038221 → γ (match row sums)
  1 · 3 · 9 · 27 … row sums 1, 3, 9, 27, 81, 243, 729, 2187, …
  (−∞, 0] nonnegative rational roots
• basis-map coefficients of A112227 → basis A013609 (match row sums)
  1, 4, 4 · 1, 6, 12, 8 · 1, 8, 24, 32, 16 … row sums 9, 27, 81, 243, 729, 2187, 6561, 19683, …
  (−∞, 0] nonnegative rational roots