Combinatorics / CONCEPT
Cigler's Boundary-Weighted Motzkin Hankel Formula
Cigler's boundary-weighted Motzkin Hankel series has the specified denominator and a numerator of exact degree binom(m+1,3) + 1 for every positive shift m.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS1
The boundary-weighted generating function
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Cigler's Conjecture 11structural-affinity · Closed
- Cigler's Motzkin-Column Hankel Formulastructural-affinity · Closed
- Column Denominator Modes and Fixed Rootsstructural-affinity · Closed
- Formal Reciprocal Branches and Polynomial Exponentsstructural-affinity · Closed
- Integral Confluence of Formal Alternantsstructural-affinity · Closed
- Mixed Reciprocal Branches and Grouped Recurrencesstructural-affinity · Closed
- Negative-Index Motzkin Determinantsstructural-affinity · Closed
- Remainder Determinants and Mixed Confluencestructural-affinity · Closed
- The Negative-Index Unit Endpointstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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