Proof step e-089b35b0d9fc7c83

basis_map A038243 → concludes about Riordan array (1, 3+3x). JSON

Theorem

Geometric basis map (elementary) polytool ?

Operation

Image under a basis map u^k -> P_k

{
  "map": "A038243",
  "operation": "basis_map"
}

Premises

• basis-map coefficients of Riordan array (1, 3+3x). (sequence)
  uses: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 5]

Claims

• { "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: basis_map, SHA-256 5b7bf863668dee68c26f0f9eea2d0920697e3725d6597584cba31882b9dee7c5, 11,679 bytes (2,198 compressed); download JSON

Cited by

• n-016d7724d51f6416 (one_signed_coefficients)
• n-016d7724d51f6416 (hadamard_kernel)
• n-016d7724d51f6416 (real_rooted)