trureturingGitHub MATHEMATICAL ATLAS

Recurrence / CONCEPT

The integer central-binomial transform

An integer binomial-square transform and its first moment determine two coefficient residue laws.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Every polynomial coefficient

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Hanna's Odd-Square Continued FractionHanna's Odd-Square ContinuedFractionThe integer central-binomial transformThe integer central-binomialtransformHanna's power-of-two residue theoremHanna's power-of-two residuetheoremHanna's ternary-digit residue theoremHanna's ternary-digit residuetheorem
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
Recurrence
Node ID
D5/S1/Recurrence/Invariants/HannaLegendreCentralBinomialTransform
Repository path
D5/S1/Recurrence/Invariants/HannaLegendreCentralBinomialTransform.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.