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A323257
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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.
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1
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1, 2, 2, 4, 3, 10, 3, 21, 8, 22, 8, 76, 7, 134, 21, 56, 38, 384, 16, 626, 41, 215, 89, 1574, 34, 1414, 170, 874, 162, 5603, 28, 8348, 448, 1951, 539, 5625, 126, 26014, 918, 5047, 481, 53173, 112, 75174, 1522, 4747, 2468, 147272, 399, 123165, 1362, 27874, 3986, 386154, 679
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..55.
Benjamin Braun, Brian Davis, Antichain Simplices, arXiv:1901.01417 [math.CO], 2019. See Appendix A p. 41.
Stepan Kochemazov, Oleg Zaikin, Eduard Vatutin, Alexey Belyshev, Enumerating Diagonal Latin Squares of Order Up to 9, J. Int. Seq., Vol. 23 (2020), Article 20.1.2.
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CROSSREFS
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Cf. A000041, A323256.
Sequence in context: A140860 A019681 A241580 * A054529 A074934 A089886
Adjacent sequences: A323254 A323255 A323256 * A323258 A323259 A323260
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KEYWORD
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nonn
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AUTHOR
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Michel Marcus, Jan 09 2019
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STATUS
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approved
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