%I A006360 M5300
%S A006360 1,50,887,8790,59542,307960,1301610,4701698,14975675,43025762,
%T A006360 113414717,277904900,639562508,1393844960,2896063220,5768600412,
%U A006360 11066514565,20526933442,36936277875,64660182026,110394412610
%N A006360 Antichains (or order ideals) in the poset 2*2*3*n or size of the distributive 
               lattice J(2*2*3*n)
%D A006360 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006360 J. Berman and P. Koehler, Cardinalities of finite distributive lattices, 
               Mitteilungen aus dem Mathematischen Seminar Giessen, 121 (1976), 
               103-124.
%D A006360 Manfred Goebel, Rewriting Techniques and Degree Bounds for Higher Order 
               Symmetric Polynomials, Applicable Algebra in Engineering, Communication 
               and Computing (AAECC), Volume 9, Issue 6 (1999), 559-573.
%D A006360 G. Kreweras, Les preordres totaux compatibles avec un ordre partiel. 
               Math. Sci. Humaines No. 53 (1976), 5-30.
%H A006360 <a href="Sindx_Pos.html#posets">Index entries for sequences related to 
               posets</a>
%t A006360 MatrixPower[ ZetaP[ #, n + 1 ][ [ 1, Card[ # ] ] ]&@JofP[ Chain[ 2, 2, 
               3 ] ]
%Y A006360 Cf. A000217, A000330, A050446, A050447, A006356, A006357, A006358, A006359, 
               A000372, A056932, A006361, A006362, A056933, A056934, A056935, A056936, 
               A056937.
%Y A006360 Sequence in context: A086027 A110929 A101929 this_sequence A112890 A160152 
               A017766
%Y A006360 Adjacent sequences: A006357 A006358 A006359 this_sequence A006361 A006362 
               A006363
%K A006360 nonn,easy
%O A006360 0,2
%A A006360 N. J. A. Sloane (njas(AT)research.att.com).
%E A006360 More terms from Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jul 
               16 2000