Proof step e-c6857bd156c16708

basis_map A013610 → concludes about basis_map_A013610 of Triangle read by rows, A007318 rows repeated. JSON

Theorem

Geometric basis map (elementary) polytool ?

Operation

Image under a basis map u^k -> P_k

{
  "map": "A013610",
  "operation": "basis_map"
}

Premises

• Triangle read by rows, A007318 rows repeated. (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 bf4f112c124f033a4bc631cd633d155443834688607b4cc92cff75a1ca04e08b, 6,885 bytes (1,395 compressed); download JSON

Cited by

• n-6b39163848c2036c (real_rooted)
• n-6b39163848c2036c (one_signed_coefficients)
• n-6b39163848c2036c (hadamard_kernel)