Real-rooted atlas

Proof step

Geometric basis map (elementary)

Image under a basis map u^k -> P_k A013611

Concludes
basis_map_A013611 of basis_map_A013609 of Triangle of coefficients of Chebyshev's S(n,x+4) polynomials (exponents of x in increasing order).
Premises
Theorem
polytool ?
Checked
polytool replayed · Lean not attempted
Technical details
Step id
e-e2a754028f824170 · JSON
Operation
Image under a basis map u^k -> P_k
{
  "map": "A013611",
  "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 485458059c78fdd32f2c7e9731b93a9e7c08ddba47aad83d2b6e57e7edb60500, 13,480 bytes (2,558 compressed); download
polytool replayed the certificate when the step was written.
Cited by