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A006362 Antichains (or order ideals) in the poset 2*2*5*n or size of the distributive lattice J(2*2*5*n)
(Formerly M5411)
+0
9
1, 196, 11196, 307960, 5157098, 60112692, 530962446, 3764727340, 22326282261, 114158490576, 515063238810, 2087929609236, 7714649716552, 26285397502428, 83379798088110, 248202756212336, 697998155989501, 1864955619299196 (list; graph; listen)
OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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

G. Kreweras, Les preordres totaux compatibles avec un ordre partiel. Math. Sci. Humaines No. 53 (1976), 5-30.

LINKS

Index entries for sequences related to posets

MATHEMATICA

MatrixPower[ ZetaP[ #, n + 1 ][ [ 1, Card[ # ] ] ]&@JofP[ Chain[ 2, 2, 5 ] ]

CROSSREFS

Cf. A000372, A056932, A006360, A006361, A056933, A056934, A056935, A056936, A056937.

Sequence in context: A061622 A128990 A061619 this_sequence A035834 A114761 A076002

Adjacent sequences: A006359 A006360 A006361 this_sequence A006363 A006364 A006365

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jul 16 2000

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Last modified November 21 21:21 EST 2009. Contains 167310 sequences.


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