Proof step e-900137e7780f9cba

basis_map A013610 → concludes about basis_map_A013610 of A Jacobsthal triangle. JSON

Theorem

Geometric basis map (elementary) polytool ?

Operation

Image under a basis map u^k -> P_k

{
  "map": "A013610",
  "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 77d9523b0abba9d137fe59102f0846841269204d937824a5bd41712333d399e5, 11,661 bytes (2,193 compressed); download JSON

Cited by

• n-ad5020a0c2e8a31d (real_rooted)
• n-ad5020a0c2e8a31d (one_signed_coefficients)
• n-ad5020a0c2e8a31d (hadamard_kernel)