trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Thanatipanonda's shifted binomial power linearization

Every positive power of choose(n+dk,k) has an integral expansion in choose(n+dj,j), with coefficients generated by one integer recursion independent of the power index.

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THEOREM

Integral linearization for every nonnegative shift

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Thanatipanonda's shifted binomial power linearizationThanatipanonda's shiftedbinomial power linearization
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/BinomialBases/ShiftedBinomialPowerLinearization
Repository path
D5/S3/Combinatorics/BinomialBases/ShiftedBinomialPowerLinearization.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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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.