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A323257 Number of partitions lambda of n that satisfy gcd(lambda_i, n-1) = 1 for all i and for which the lattice simplex delta(lambda) is an antichain simplex. 1

%I #9 Mar 14 2020 18:52:06

%S 1,2,2,4,3,10,3,21,8,22,8,76,7,134,21,56,38,384,16,626,41,215,89,1574,

%T 34,1414,170,874,162,5603,28,8348,448,1951,539,5625,126,26014,918,

%U 5047,481,53173,112,75174,1522,4747,2468,147272,399,123165,1362,27874,3986,386154,679

%N Number of partitions lambda of n that satisfy gcd(lambda_i, n-1) = 1 for all i and for which the lattice simplex delta(lambda) is an antichain simplex.

%H Benjamin Braun, Brian Davis, <a href="https://arxiv.org/abs/1901.01417">Antichain Simplices</a>, arXiv:1901.01417 [math.CO], 2019. See Appendix A p. 41.

%H Stepan Kochemazov, Oleg Zaikin, Eduard Vatutin, Alexey Belyshev, <a href="https://www.emis.de/journals/JIS/VOL23/Zaikin/zaikin3.html">Enumerating Diagonal Latin Squares of Order Up to 9</a>, J. Int. Seq., Vol. 23 (2020), Article 20.1.2.

%Y Cf. A000041, A323256.

%K nonn

%O 1,2

%A _Michel Marcus_, Jan 09 2019

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)