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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)
8
1, 196, 11196, 307960, 5157098, 60112692, 530962446, 3764727340, 22326282261, 114158490576, 515063238810, 2087929609236, 7714649716552, 26285397502428, 83379798088110, 248202756212336, 697998155989501, 1864955619299196 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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.

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

LINKS

Table of n, a(n) for n=0..17.

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

Index entries for sequences related to posets

MATHEMATICA

MatrixPower[ ZetaP[ #, n + 1 ][ [ 1, Card[ # ] ] ]&@JofP[ Chain[ 2, 2, 5 ] ] (* This Mathematica program contains undefined functions and at present does not work. *)

CROSSREFS

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

Sequence in context: A285922 A285858 A203540 * A035834 A114761 A076002

Adjacent sequences:  A006359 A006360 A006361 * A006363 A006364 A006365

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Mitch Harris, Jul 16 2000

STATUS

approved

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Last modified October 14 14:20 EDT 2019. Contains 328017 sequences. (Running on oeis4.)