Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of theta_plus_one_squared of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array…
- Premises
- theta_plus_one_squared of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array …
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- theta_plus_one_squared of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array …
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-d90382c759b2943e· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013610", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-2566c4a6a8118e218e4c43aa3125abe15caed184f66ac970be19a599e0196e814fa, 11,460 bytes (2,047 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-c5a2bf19e77949e1(real_rooted)n-c5a2bf19e77949e1(one_signed_coefficients)n-c5a2bf19e77949e1(hadamard_kernel)