Proof step e-3cc458751e352849

basis_map A013609 → concludes about basis_map_A013609 of A Jacobsthal triangle. JSON

Theorem

Geometric basis map (elementary) polytool ?

Operation

Image under a basis map u^k -> P_k

{
  "map": "A013609",
  "operation": "basis_map"
}

Premises

• A Jacobsthal triangle. (sequence)
  uses: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]

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 9e94778cd94dc530b00d1c3060c8e5a171cb516f06592511e7fbece860bccd5b, 11,661 bytes (2,193 compressed); download JSON

Cited by

• n-546dca52670dddd1 (real_rooted)
• n-546dca52670dddd1 (one_signed_coefficients)
• n-546dca52670dddd1 (hadamard_kernel)