basis_map

Image under a basis map u^k -> P_k. All operations

1056 sequences

• A027467: Triangle whose (n,k)-th entry is 15^(n-k)*binomial(n,k).
  1 · 15, 1 · 225, 30, 1 · 3375, 675, 45, 1 … row sums 1, 16, 256, 4096, 65536, 1048576, …
  A027467 (−∞, 0) nonnegative rational roots
• A038291 → basis A008277
  1 · 10, 1 · 100, 21, 1 · 1000, 331, 33, 1 … row sums 1, 11, 122, 1365, 15415, 175802, …
  (−∞, 0] nonnegative
• A118933 → basis A008277
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 13, 61, 181, 421, …
  (−∞, 0] nonnegative
• A038243 → basis A013609
  1 · 6, 2 · 36, 24, 4 · 216, 216, 72, 8 … row sums 1, 8, 64, 512, 4096, 32768, 262144, …
  (−∞, 0] nonnegative rational roots
• A103327 → basis A013611
  1 · 4, 4 · 16, 48, 16 · 64, 320, 384, 64 … row sums 1, 8, 80, 832, 8704, 91136, 954368, …
  (−∞, 0] nonnegative
• A038208 → basis A007318
  1 · 4, 2 · 16, 16, 4 · 64, 96, 48, 8 … row sums 1, 6, 36, 216, 1296, 7776, 46656, …
  (−∞, −1] nonnegative rational roots