Proof step e-bbffc3f85cdc52e2

parent_provers periodic_product → concludes about Triangle of Sulanke numbers: T(n,k) = T(n,k-1) + a(n-1,k) for n+k even and a(n,k) = a(n,k-1) + 2*a(n-1,k) for n+k odd. JSON

Theorem

Parent-row provers of polytool polytool ?

Operation

Shared parent provers on the node's own rule

{
  "operation": "parent_provers",
  "route": "periodic_product"
}

Premises

None: this step is a direct theorem check.

Claims

• { "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: parent_provers, SHA-256 b33fdb2d8c656579ea0e41c3d105c31b9cd68c4f56666d7d9ff6bf972976c883, 659 bytes (391 compressed); download JSON

Cited by

• n-5a70a6e97131d437 (real_rooted)
• n-5a70a6e97131d437 (one_signed_coefficients)
• n-5a70a6e97131d437 (hadamard_kernel)