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, 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

Offset

1,2

Links

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.

Crossrefs

Cf. A000041, A323256.

Sequence in context: A140860 A019681 A241580 * A054529 A074934 A089886

Adjacent sequences: A323254 A323255 A323256 * A323258 A323259 A323260

Keyword

nonn

Author

Michel Marcus, Jan 09 2019

Status

approved