Combinatorics / CONCEPT
The Central Binomial Count for the 12-Dot Machine
The 12-dot machine sorts a central binomial number of permutations of each positive size.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH9
DOCUMENT LINKS1
Count the machine-sortable permutations
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
- 231-Avoiding Permutations and Dyck Pathsstructural-affinity · Closed
- Fibres of Peak-Run Reversalstructural-affinity · Closed
- FishburnTenNineAuxiliarystructural-affinity · Closed
- FishburnTenNineAuxiliaryCountstructural-affinity · Closed
- FishburnTenNineClassicalCountstructural-affinity · Closed
- FishburnTenNineClassicalSplitstructural-affinity · Closed
- Signed Excursions and Balanced Bridgesstructural-affinity · Closed
- Stack Sorting and Peak-Run Structurestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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