Proof step e-a80b60183a85d18e

basis_map A013611 → concludes about basis_map_A013611 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) regarded as a t… JSON

Theorem

Geometric basis map (elementary) polytool ?

Operation

Image under a basis map u^k -> P_k

{
  "map": "A013611",
  "operation": "basis_map"
}

Premises

• basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) regarded as a tr… (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 55cd893ee9e32bb65c2e0be71fef1ee3efcb8046250e6a26a2da3890c5680ff8, 6,877 bytes (1,391 compressed); download JSON

Cited by

• n-fea317cb49e40b71 (real_rooted)
• n-fea317cb49e40b71 (one_signed_coefficients)
• n-fea317cb49e40b71 (hadamard_kernel)