A155543

View A155543 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.

• A034870: Even-numbered rows of Pascal's triangle. (match row sums)
  1 · 1, 2, 1 · 1, 4, 6, 4, 1 · 1, 6, 15, 20, 15, 6, 1 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  A034870 (−∞, −1] nonnegative rational roots
• A207607 → x ↦ x/(x+1) (match row sums)
  1 · 1, 3 · 1, 7, 8 · 1, 12, 30, 21 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  [−1, 0) nonnegative
• A091044: One half of odd-numbered entries of even-numbered rows of Pascal's triangle A007318. (match row sums)
  1 · 2, 2 · 3, 10, 3 · 4, 28, 28, 4 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  A091044 (−∞, 0) nonnegative
• basis-map coefficients of A026729 → basis A013610 (match row sums)
  1 · 1, 3 · 1, 6, 9 · 1, 9, 27, 27 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  (−∞, 0] nonnegative rational roots
• A013610: Triangle of coefficients in expansion of (1+3*x)^n. (match row sums)
  1 · 1, 3 · 1, 6, 9 · 1, 9, 27, 27 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  A013610 (−∞, 0) [−1, 0] nonnegative rational roots
• A027465: Cube of lower triangular normalized binomial matrix. (match row sums)
  1 · 3, 1 · 9, 6, 1 · 27, 27, 9, 1 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  A027465 (−∞, −1] nonnegative rational roots
• basis-map coefficients of A112227 → basis A013610 (match row sums)
  1, 6, 9 · 1, 9, 27, 27 · 1, 12, 54, 108, 81 … row sums 16, 64, 256, 1024, 4096, 16384, 65536, …
  (−∞, 0] nonnegative rational roots
• A091042: Triangle of even numbered entries of odd numbered rows of Pascal's triangle A007318. (match row sums)
  1 · 1, 3 · 1, 10, 5 · 1, 21, 35, 7 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  A091042 (−∞, 0) nonnegative
• A103327: Triangle read by rows: T(n,k) = binomial(2n+1, 2k+1). (match row sums)
  1 · 3, 1 · 5, 10, 1 · 7, 35, 21, 1 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  A103327 (−∞, 0) nonnegative
• A038208: Triangle whose (i,j)-th entry is binomial(i,j)*2^i. (match row sums)
  1 · 2, 2 · 4, 8, 4 · 8, 24, 24, 8 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  A038208 (−∞, −1] nonnegative rational roots
• A261711: Triangle read by rows: T(n,k) is the number of words over alphabet {0,1,2,3} having exactly k occurrences of the string 01, where n>=0 and k>=0. (match row sums)
  A011973 → x ↦ (1/16)x−1/16
  1 · 4 · 15, 1 · 56, 8 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  A261711 (−∞, 1] nonnegative
• A103327 → reverse (match row sums)
  1 · 1, 3 · 1, 10, 5 · 1, 21, 35, 7 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  (−∞, 0] nonnegative
• A091042 → reverse (match row sums)
  1 · 3, 1 · 5, 10, 1 · 7, 35, 21, 1 … row sums 1, 4, 16, 64, 256, 1024, 4096, 16384, …
  (−∞, 0] nonnegative