Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 of basis_map_A013609 of Square array of Delannoy numbers D(i,j) (i >= 0, j >= 0) read by antidiagonals.
- Premises
- basis_map_A013609 of Square array of Delannoy numbers D(i,j) (i >= 0, j >= 0) read by antidiagonals.
sequence: Every row P_n, n >= 1, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013609 of Square array of Delannoy numbers D(i,j) (i >= 0, j >= 0) read by antidiagonals.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-448286f41026274a· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013611", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 1, "region": { "upper": { "closed": true, "value": "0" } } }{ "claim": "interlacing", "from_index": 2, "kind": "weak", "orientation": "unordered" }- Certificate
basis_map, SHA-25602a3663185c104960a5b8ca0fe06b150038e9f015c97b6cab2cf0e528a8a17bc, 14,971 bytes (2,916 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-6c50c67ea95b591f(real_rooted)n-6c50c67ea95b591f(one_signed_coefficients)n-6c50c67ea95b591f(hadamard_kernel)n-6c50c67ea95b591f(interlacing)