Combinatorics / CONCEPT
Enumeration for 1132 and 2213
The generating function for nonnesting permutations avoiding 1132 and 2213 satisfies the stated quadratic equation.
Closed
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES1
PROOF DEPTH9
DOCUMENT LINKS1
The 1132 and 2213 generating function
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Adjacent Downstep Pairstruth-dependency · Closed
- Compositions for a Fixed Dyck Shapetruth-dependency · Closed
- Nonnesting Avoidance and Generating Functionstruth-dependency · Closed
- Relation Between Weighted Dyck Seriestruth-dependency · Closed
- Singleton Components at Ground Leveltruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Adjacent Downstep Pairsstructural-affinity · Closed
- Augmented Dyck Weightsstructural-affinity · Closed
- Avoidance from Permitted Gapsstructural-affinity · Closed
- Combined Dyck Weightsstructural-affinity · Closed
- Compositions for a Fixed Dyck Shapestructural-affinity · Closed
- Downstep-Weighted Dyck Enumerationstructural-affinity · Closed
- Enumeration for 1233 and 1322structural-affinity · Closed
- Hook-Block Decompositionstructural-affinity · Closed
- Nonnesting Avoidance and Generating Functionsstructural-affinity · Closed
- Quadratic Equation for Downstep Weightsstructural-affinity · Closed
- Relation Between Weighted Dyck Seriesstructural-affinity · Closed
- Singleton Components at Ground Levelstructural-affinity · Closed
- Transfer Between Two Avoidance Classesstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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