Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 of theta_plus_one of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A00828…
- Premises
- theta_plus_one of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- theta_plus_one of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-ca4c6b550df452a1· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013609", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-256cf9e0846cc26227291b4ddd925dd516a8bf7b97ecb1c7d2eae09d7d543d7e495, 11,326 bytes (2,025 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-e289aa535cbb9f6a(real_rooted)n-e289aa535cbb9f6a(one_signed_coefficients)n-e289aa535cbb9f6a(hadamard_kernel)