Proof step e-7b55c4767302dd2a

basis_map A038243 → concludes about A Jacobsthal triangle. 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 A Jacobsthal triangle. (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 c2551ab3e20fc934c683f6d114b75564c5725685803f6f7be815578b0bde6bbb, 11,673 bytes (2,202 compressed); download JSON

Cited by

• n-ba196dcd01800741 (real_rooted)
• n-ba196dcd01800741 (one_signed_coefficients)
• n-ba196dcd01800741 (hadamard_kernel)