Proof step e-80180a24956ab79f

basis_map A008288 → concludes about Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) regarded as a triangle. JSON

Theorem

Affine-current basis map theorem polytool RealRooted orderTwoConstants_nonneg_iff ?

Operation

Image under a basis map u^k -> P_k

{
  "map": "A008288",
  "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 [0, 0]

Claims

• { "claim": "real_rooted", "from_index": 0, "region": { "lower": { "closed": true, "value": "-1564556493/268435456" }, "upper": { "closed": true, "value": "-46056243/268435456" } } }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: basis_map, SHA-256 937f1e02a2698099020dc2afb0ac7c88f3fc87fa873688abc4afeba0b9f6b80f, 14,397 bytes (2,250 compressed); download JSON

Cited by

• n-14e332ad5b6d2ede (real_rooted)
• n-14e332ad5b6d2ede (one_signed_coefficients)
• n-14e332ad5b6d2ede (hadamard_kernel)