Combinatorics / CONCEPT
Generating Function for the Final Descent
The final descent statistic has a generating function determined by the Catalan series.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS1
Final descent weights
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Enumeration of the Right Avoidance Classstructural-affinity · Closed
- Equinumerosity of Inversion Sequences in Class 152structural-affinity · Closed
- Factorizations at the Initial Ascent and Final Descentstructural-affinity · Closed
- Generating Function for a Marked Interior Descentstructural-affinity · Closed
- Generating Function for Bounded Right Suffixesstructural-affinity · Closed
- Generating Function for the Penultimate Descentstructural-affinity · Closed
- Reflection of Dyck Pathsstructural-affinity · Closed
- Run Lengths under Dyck Path Reflectionstructural-affinity · Closed
- Weakly Increasing Inversion Sequences and Dyck Pathsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance