Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 of basis-map coefficients of Triangle read by rows: row n consists of n-1 zeros followed by Fibonacci(n).
- Premises
- basis-map coefficients of Triangle read by rows: row n consists of n-1 zeros followed by Fibonacci(n).
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis-map coefficients of Triangle read by rows: row n consists of n-1 zeros followed by Fibonacci(n).
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-dc706abad33c1e17· 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-2565815e8a9c1afbfeede6d48c60919b589cc918d51f747f5fd943540df58e097ab, 13,674 bytes (2,727 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-a9d69759f5d3bd95(real_rooted)n-a9d69759f5d3bd95(one_signed_coefficients)n-a9d69759f5d3bd95(hadamard_kernel)