A047053

View A047053 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.

• A257612: Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 4*x + 2. (match row sums)
  1 · 2, 2 · 4, 24, 4 · 8, 184, 184, 8 … row sums 1, 4, 32, 384, 6144, 122880, 2949120, …
  A257612 (−∞, 0) nonnegative
• A136572 → basis A013610 (match row sums)
  1 · 1, 3 · 2, 12, 18 · 6, 54, 162, 162 … row sums 1, 4, 32, 384, 6144, 122880, 2949120, …
  (−∞, 0] nonnegative rational roots
• A225471: Triangle read by rows, s_4(n, k) where s_m(n, k) are the Stirling-Frobenius cycle numbers of order m; n >= 0, k >= 0. (match row sums)
  1 · 3, 1 · 21, 10, 1 · 231, 131, 21, 1 … row sums 1, 4, 32, 384, 6144, 122880, 2949120, …
  A225471 (−∞, 0) nonnegative rational roots
• A196347 → basis A013609 (match row sums)
  1 · 2, 2 · 8, 16, 8 · 48, 144, 144, 48 … row sums 1, 4, 32, 384, 6144, 122880, 2949120, …
  (−∞, 0] nonnegative rational roots
• A290319 → basis A013609 (match row sums)
  1 · 2, 2 · 12, 16, 4 · 120, 184, 72, 8 … row sums 1, 4, 32, 384, 6144, 122880, 2949120, …
  (−∞, 0] nonnegative rational roots