trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

RotationAvoidanceFibonacci

Two classical pattern avoidance classes have cardinalities given by odd-indexed Fibonacci numbers and powers of two.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES6
PROOF DEPTH5
DOCUMENT LINKS1
THEOREM

Enumeration of permutations avoiding 213 and 4132

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Separated Permutation BlocksSeparated Permutation BlocksAvoidance by Increasing BlocksAvoidance by Increasing BlocksRotationAvoidanceCountsRotationAvoidanceCountsRotationAvoidanceFibonacciRotationAvoidanceFibonacciRotationAvoidanceAlternatingRotationAvoidanceAlternatingRotationAvoidanceFailureProductRotationAvoidanceFailureProductRotationAvoidanceGroupsRotationAvoidanceGroupsRotationAvoidanceLayeredCountRotationAvoidanceLayeredCountRotationAvoidanceLayeredEmptyRotationAvoidanceLayeredEmptyRotationAvoidanceSlicesRotationAvoidanceSlices
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/RotationAvoidance/RotationAvoidanceFibonacci
Repository path
D5/S3/Combinatorics/RotationAvoidance/RotationAvoidanceFibonacci.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.