Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 of basis_map_A013610 of Triangle read by rows: T(n,k) is the number of binary words of length n having degree of asymmetry equal to k (n >= 0…
- Premises
- basis_map_A013610 of Triangle read by rows: T(n,k) is the number of binary words of length n having degree of asymmetry equal to k (n >= 0;…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013610 of Triangle read by rows: T(n,k) is the number of binary words of length n having degree of asymmetry equal to k (n >= 0;…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-4b21a7f4614f1c8b· 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-256739f954a828862541c33d32f98a27a328bd4016f2c5732ee96c6c827bf2974ab, 6,889 bytes (1,403 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-2516fc1db555cb75(real_rooted)n-2516fc1db555cb75(one_signed_coefficients)n-2516fc1db555cb75(hadamard_kernel)