Values
The exact values of the Dedekind numbers are known for 0 ≤ n ≤ 8:
- 2, 3, 6, 20, 168, 7581, 7828354, 2414682040998, 56130437228687557907788 (sequence A000372 in OEIS).
The first six of these numbers are given by Church (1940). M(6) was calculated by Ward (1946), M(7) was calculated by Church (1965) and Berman & Köhler (1976), and M(8) by Wiedemann (1991).
If n is even, then M(n) must also be even. The calculation of the fifth Dedekind number M(5) = 7581 disproved a conjecture by Garrett Birkhoff that M(n) is always divisible by (2n − 1)(2n − 2).
Read more about this topic: Dedekind Number
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