Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013609 of basis_map_A013609 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A00…
- Premises
- basis_map_A007318 of Even-numbered rows of Pascal's triangle.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A007318 of Even-numbered rows of Pascal's triangle.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-219470b67840e9e7· 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-256fdae157b7ba4f32396a7fafcc9e4723103d9e77fec46d0c41dc6d257c934d7cb, 6,879 bytes (1,397 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-fae42818526cffa5(real_rooted)n-fae42818526cffa5(one_signed_coefficients)n-fae42818526cffa5(hadamard_kernel)