%I M5370 #28 Jul 11 2023 12:38:09
%S 1,105,3490,59542,650644,5157098,32046856,164489084,723509159,
%T 2801747767,9748942554,30967306114,90930233726,249319296218,
%U 643622467414,1575086681342,3675063064675,8215220917795
%N Antichains (or order ideals) in the poset 2*2*4*n or size of the distributive lattice J(2*2*4*n)
%D J. Berman and P. Koehler, Cardinalities of finite distributive lattices, Mitteilungen aus dem Mathematischen Seminar Giessen, 121 (1976), 103-124.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%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 G. Kreweras, <a href="http://www.numdam.org/item?id=MSH_1976__53__5_0">Les préordres totaux compatibles avec un ordre partiel</a>, Math. Sci. Humaines No. 53 (1976), 5-30.
%H <a href="/index/Pos#posets">Index entries for sequences related to posets</a>
%F Empirical G.f.: (x^10 +88*x^9 +1841*x^8 +13812*x^7 +44050*x^6 +64374*x^5 +44050*x^4 +13812*x^3 +1841*x^2 +88*x +1)/(1-x)^17. [_Colin Barker_, May 29 2012]
%Y Cf. A000372, A056932, A006360, A006362, A056933, A056934, A056935, A056936, A056937.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Mitch Harris_, Jul 16 2000