Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013610
- Concludes
- basis_map_A013610 of basis-map coefficients of Triangle read by rows: BellMatrix(Product_{p in P(n)} p), where P(n) = {k : k mod m = 1 and 1 <= k <= m*(n + 1)}…
- Premises
- basis-map coefficients of Triangle read by rows: BellMatrix(Product_{p in P(n)} p), where P(n) = {k : k mod m = 1 and 1 <= k <= m*(n + 1)} …
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: BellMatrix(Product_{p in P(n)} p), where P(n) = {k : k mod m = 1 and 1 <= k <= m*(n + 1)} …
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-6e846af4747cc041· 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-2563e14ab5fbe5de08e4de3457196497192649dd4885fa246b89af62db8b1b85489, 7,661 bytes (1,707 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-b0592fccca597966(one_signed_coefficients)n-b0592fccca597966(hadamard_kernel)n-b0592fccca597966(real_rooted)