Real-rooted atlas

Proof step

Geometric basis map (elementary)

Image under a basis map u^k -> P_k A007318

Concludes
shift_x_plus_one of basis-map coefficients of Triangle read by rows: row n consists of n-1 zeros followed by Fibonacci(n).
Premises
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-22417f5eeaa55b57 · JSON
Operation
Image under a basis map u^k -> P_k
{
  "map": "A007318",
  "operation": "basis_map"
}
Claims
{
  "claim": "real_rooted",
  "from_index": 0,
  "region": {
    "upper": {
      "closed": true,
      "value": "0"
    }
  }
}
Certificate
basis_map, SHA-256 0ecc7a23bbb25968c46cf1ffc033d837526fd94d483a89a6f4588d2348e9440d, 13,674 bytes (2,721 compressed); download
polytool replayed the certificate when the step was written.
Cited by