Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of basis_map_A013609 of Triangle read by rows: T(n,k) is the number of ternary words of length n having k runs (i.e., subwords of maximal len…
- Premises
- basis_map_A013609 of Triangle read by rows: T(n,k) is the number of ternary words of length n having k runs (i.e., subwords of maximal leng…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013609 of Triangle read by rows: T(n,k) is the number of ternary words of length n having k runs (i.e., subwords of maximal leng…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-44f7d78af53a1cc4· 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-256e0a6c2e1030fa9b31cbc41be3c3543922be6d02e2069dad29d517e15762e0f47, 6,857 bytes (1,396 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-9f4aefa5f442e451(real_rooted)n-9f4aefa5f442e451(one_signed_coefficients)n-9f4aefa5f442e451(hadamard_kernel)