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Combinatorics / CONCEPT

Balanced Compositions Are Counted by Nonnegative Walks from Height Two

Nonnegative unit-step height sequences from two are as many as the compositions whose even parts are split evenly between odd and even positions, because both are windows of the same Pascal kernel.

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Balanced Compositions Are Counted by Nonnegative Walks from Height TwoBalanced Compositions AreCounted by Nonnegative Walksfrom Height Two
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/BalancedCompositionPaths
Repository path
D5/S3/Combinatorics/BalancedCompositionPaths.lean
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sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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