Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013609 of basis_map_A013610 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A00…
- Premises
- basis_map_A013609 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_A013609 of Even-numbered rows of Pascal's triangle.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-bfd5e204a34d0b5a· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013610", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-256597926ce77e82c867667d281f559442693a4892d6e5a82131348f73dedf56272, 6,881 bytes (1,398 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-c1a4b2af6b8ff4f9(real_rooted)n-c1a4b2af6b8ff4f9(one_signed_coefficients)n-c1a4b2af6b8ff4f9(hadamard_kernel)