trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Two-layer solid partitions with a second layer of size 3

The two-layer solid partitions whose first layer is a plane partition of n and whose second layer is a plane partition of 3 number 3(2 A000219(n) - A000990(n) - 2 A000041(n) + 1), with A000219 the plane partitions, A000990 the plane partitions with at most two rows and A000041 the partitions of n, as conjectured by W. Meeussen for OEIS A381265.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Proof of the conjecture

RELATIONSHIP ATLAS

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Certified topology / DOWNSTREAM

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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.