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A056932
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Antichains (or order ideals) in the poset 2*2*2*n or size of the distributive lattice J(2*2*2*n)
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12
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1, 20, 168, 887, 3490, 11196, 30900, 75966, 170379, 354640, 693836, 1288365, 2287844, 3908776, 6456600, 10352796, 16167765, 24660252, 36824128, 53943395, 77656326, 110029700, 153644140, 211691610, 288086175, 387589176, 515950020
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| J. Berman and P. Koehler, Cardinalities of finite distributive lattices, Mitteilungen aus dem Mathematischen Seminar Giessen, 121 (1976), 103-124.
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.
G. Kreweras, Les preordres totaux compatibles avec un ordre partiel. Math. Sci. Humaines No. 53 (1976), 5-30.
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LINKS
| Index entries for sequences related to posets
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FORMULA
| a(n) = 48 C(n+8, 8) - 96 C(n+7, 7) + 63 C(n+6, 6) - 15 C(n+5, 5) + C(n+4, 4)
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CROSSREFS
| Cf. A000372, A006360, A006361, A006362, A056933, A056934, A056935, A056936, A056937.
Sequence in context: A041768 A056114 A186259 * A010826 A022712 A056128
Adjacent sequences: A056929 A056930 A056931 * A056933 A056934 A056935
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KEYWORD
| nonn,easy
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AUTHOR
| Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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