Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A007318
- Concludes
- basis_map_A007318 of basis_map_A013610 of Square array A(n,r), the number of neighbors at a sharp Manhattan distance r in a finite n-hypercube lattice, read by…
- Premises
- basis_map_A013610 of Square array A(n,r), the number of neighbors at a sharp Manhattan distance r in a finite n-hypercube lattice, read by …
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013610 of Square array A(n,r), the number of neighbors at a sharp Manhattan distance r in a finite n-hypercube lattice, read by …
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-f5aea093eebe3c01· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A007318", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }{ "claim": "interlacing", "from_index": 1, "kind": "weak", "orientation": "unordered" }- Certificate
basis_map, SHA-25686bfa33d61ac41c83ef77e1f32b1c708dee899cf86c031218088a80a1c68fae8, 15,053 bytes (2,981 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-d7889f3e929cbf0f(real_rooted)n-d7889f3e929cbf0f(one_signed_coefficients)n-d7889f3e929cbf0f(hadamard_kernel)n-d7889f3e929cbf0f(interlacing)