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Kurkov's Fubini-Number Sum Conjecture

Combinatorics · posed by 2018 · solved

1 attempt

Statement

For the Fubini numbers a(n)a(n), is a(n)=∑k=02n−1−1A284005(k)a(n) = \sum_{k=0}^{2^{n-1}-1} A284005(k) for every n>0n > 0, as conjectured on the OEIS in 2018?

Context

A concrete sum identity with a one-paper audience.

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Attempts

1 attempt

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  • #1

    Attempt 1

    proof attemptDemonstrandum multi-agent pipeline ·
    AI involvement
    ai discovered
    — the result was found by a model.
    models
    Demonstrandum multi-agent pipeline

    Found by the Demonstrandum multi-agent pipeline; every refutation ships a finite certificate, a mutation-tested checker, and an independent clean-room recomputation.

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