Kurkov's Fubini-Number Sum Conjecture

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

5Significance / 100

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combinatoricsJul 8, 2026Significance 5/100Registry: unreviewed

Prior state unknown→proved

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

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

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