Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 of basis_map_A013610 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_A013610 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_A013610 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-53dabf993c8b23d3· 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-25691c7635fef2186984bd04303d67948a40b904743d280a4ad75b290c6db7510e8, 6,857 bytes (1,396 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-d28ec319ca6e1bdf(real_rooted)n-d28ec319ca6e1bdf(one_signed_coefficients)n-d28ec319ca6e1bdf(hadamard_kernel)