Combinatorics / CONCEPT
Enumeration of Nonnesting Permutations Avoiding 1322
Nonnesting permutations avoiding 1322 have the asserted binomial enumeration.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES4
PROOF DEPTH8
DOCUMENT LINKS2
The 1322 enumeration
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
- All-size enumeration of matchings avoiding 132, 213 and 321structural-affinity · Closed
- Catalan Orders of the Final Cyclestructural-affinity · Closed
- Catalan powers preserve the two sequence classesstructural-affinity · Closed
- Catalan Root and Lagrange Coefficient Transformstructural-affinity · Closed
- Hanna's dyadic vanishing conjecture for A271960structural-affinity · Closed
- Hanna's Lagrange parity conjecture for A365574structural-affinity · Closed
- Hanna's OEIS 386655 congruencestructural-affinity · Closed
- Hanna's OEIS 386656 congruencestructural-affinity · Closed
- Hanna's OEIS 386657 congruencestructural-affinity · Closed
- Hanna's OEIS 386658 congruencestructural-affinity · Closed
- Kernel Recurrence for 1322 Avoidancestructural-affinity · Closed
- Nonnesting under Type I Insertionstructural-affinity · Closed
- Nonnesting under Type II Insertionstructural-affinity · Closed
- Prefix Partition for 1322 Avoidancestructural-affinity · Closed
- The binomial coefficient with an integer lower indexstructural-affinity · Closed
- Unique Terminal Factorizationstructural-affinity · Closed
- Weighted Terminal Enumerationstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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