Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013609 of theta_plus_one_squared of Infinite lower triangular matrix with 2^k in the right diagonal and the rest zeros. Triangle, T(n,k), n zeros fo…
- Premises
- A127733 * A007318 as infinite lower triangular matrices.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- A127733 * A007318 as infinite lower triangular matrices.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-586f35eff31e86f6· 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-256237748c27fc21b8e22cdaaf3cab2a3b109b02c8b261f940dbe8578339822b6e8, 15,595 bytes (2,998 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-7af0d18f411a3a80(real_rooted)n-7af0d18f411a3a80(one_signed_coefficients)n-7af0d18f411a3a80(hadamard_kernel)