Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 of Square array A(n,r), the number of neighbors at a sharp Manhattan distance r in a finite n-hypercube lattice, read by upwards antidiagonal…
- Premises
- Square array A(n,r), the number of neighbors at a sharp Manhattan distance r in a finite n-hypercube lattice, read by upwards antidiagonals…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- Square array A(n,r), the number of neighbors at a sharp Manhattan distance r in a finite n-hypercube lattice, read by upwards antidiagonals…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-d57294e475dc7e22· 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" } } }{ "claim": "interlacing", "from_index": 2, "kind": "weak", "orientation": "unordered" }- Certificate
basis_map, SHA-256ba4726c442dde31af0137d1b1aced02bac319adfdab2758bc3466bd347ffff75, 14,440 bytes (2,812 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-f91986a1e2f81fd1(real_rooted)n-f91986a1e2f81fd1(one_signed_coefficients)n-f91986a1e2f81fd1(hadamard_kernel)n-f91986a1e2f81fd1(interlacing)