Combinatorics / CONCEPT
The (32; 1 to 3) Avoidance Series
The avoidance numbers and their ordinary generating series are defined for the arrow pattern (32; 1 to 3).
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH1
DOCUMENT LINKS1
RELATIONSHIP ATLAS
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Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Arrow Patterns and Their Avoidance Classesstructural-affinity · Closed
- Cyclic Pattern Avoidancestructural-affinity · Closed
- Encoding the Value Gapsstructural-affinity · Closed
- Enumeration of (32; 1 to 3) Avoidersstructural-affinity · Closed
- Fixed Points and the Two Avoidance Conditionsstructural-affinity · Closed
- From the Recurrence to the Cubicstructural-affinity · Closed
- Nonnesting Avoidance and Generating Functionsstructural-affinity · Closed
- Reconstructing the Final Cyclestructural-affinity · Closed
- Splitting at the Largest Valuestructural-affinity · Closed
- Uniqueness of the Distinguished Seriesstructural-affinity · Closed
- Value Gaps and Closed Edgesstructural-affinity · Closed
Documents & exposition
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