Real-rooted atlas

Proof step

Geometric basis map (elementary)

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

Concludes
basis_map_A007318 of basis_map_A013611 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-114f69cf51761f88 · 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"
    }
  }
}
{
  "claim": "interlacing",
  "from_index": 1,
  "kind": "weak",
  "orientation": "unordered"
}
Certificate
basis_map, SHA-256 8af0e6c3c3bc891a33225e099467f22ff7d4776d8e90d46665e64c65969034c7, 13,480 bytes (2,554 compressed); download
polytool replayed the certificate when the step was written.
Cited by