Real-rooted atlas

Proof step

Geometric basis map (elementary)

Image under a basis map u^k -> P_k A027467

Concludes
Triangle read by rows, T(n,k) = T(n-1,k) + T(n-2,k) + T(n-1,k-1) + T(n-2,k-1) and T(0,0) = 1.
Premises
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-1d4608fb4927a9a9 · JSON
Operation
Image under a basis map u^k -> P_k
{
  "map": "A027467",
  "operation": "basis_map"
}
Claims
{
  "claim": "real_rooted",
  "from_index": 1,
  "region": {
    "upper": {
      "closed": true,
      "value": "0"
    }
  }
}
{
  "claim": "interlacing",
  "from_index": 2,
  "kind": "weak",
  "orientation": "unordered"
}
Certificate
basis_map, SHA-256 6c0ee375750250f7db7a4832031e2e7a9ff9d699aa099c418569ba96c224a01c, 14,451 bytes (2,806 compressed); download
polytool replayed the certificate when the step was written.
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