Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 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-3c864200f4ee75be· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013611", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-25643ef4efc9c56a68cb1a29f5da0498a7372bf96ec56faeecf2b595dbffe89f246, 11,332 bytes (2,028 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-58e2746ad1a772cf(real_rooted)n-58e2746ad1a772cf(one_signed_coefficients)n-58e2746ad1a772cf(hadamard_kernel)