Proof step

Geometric basis map (elementary)

Image under a basis map u^k -> P_k A013610

Concludes
basis_map_A013610 of basis_map_A013611 of A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers).
Premises
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-072fa182b80a6a61 · JSON
Operation
Image under a basis map u^k -> P_k
{
  "map": "A013610",
  "operation": "basis_map"
}
Claims
{
  "claim": "real_rooted",
  "from_index": 0,
  "region": {
    "upper": {
      "closed": true,
      "value": "0"
    }
  }
}
{
  "claim": "interlacing",
  "from_index": 1,
  "kind": "weak",
  "orientation": "unordered"
}
Certificate
basis_map, SHA-256 6538c105e8e31f6057f000e4ecb8d96c665b1ac3670d8b88d553c0ccbc65bf6a, 13,484 bytes (2,558 compressed); download
polytool replayed the certificate when the step was written.
Cited by