Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- shift_x_plus_one 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 fol…
- 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-66fceda57288c605· 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-256acfb5bffabefe136ec844631a3f558afc4fe00203148ee0963c151d72768789e, 15,587 bytes (2,998 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-a24ba470fd16d40c(one_signed_coefficients)n-a24ba470fd16d40c(hadamard_kernel)n-a24ba470fd16d40c(real_rooted)