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Number of antichains (or order ideals) in the poset 3*3*3*n or size of the distributive lattice J(3*3*3*n)
8

%I #17 Jun 01 2022 18:53:48

%S 1,980,211250,17792748,781429368,21238316210,398925639186,

%T 5585711269074,61555624183223,555895303974238,4242859829536322,

%U 28038281717424550,163544036697306396,855242362045150398

%N Number of antichains (or order ideals) in the poset 3*3*3*n or size of the distributive lattice J(3*3*3*n)

%D Berman and Koehler, Cardinalities of finite distributive lattices, Mitteilungen aus dem Mathematischen Seminar Giessen, 121 (1976), p. 103-124

%H J. Berman and P. Koehler, <a href="/A006356/a006356.pdf">Cardinalities of finite distributive lattices</a>, Mitteilungen aus dem Mathematischen Seminar Giessen, 121 (1976), 103-124. [Annotated scanned copy]

%H <a href="/index/Pos#posets">Index entries for sequences related to posets</a>

%Y Cf. A000372, A006360, A006361, A006362, A056932, A056933, A056934, A056935, A056936.

%K nonn,easy

%O 0,2

%A _Mitch Harris_