login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A056937 Number of antichains (or order ideals) in the poset 3*3*3*n or size of the distributive lattice J(3*3*3*n) 8
1, 980, 211250, 17792748, 781429368, 21238316210, 398925639186, 5585711269074, 61555624183223, 555895303974238, 4242859829536322, 28038281717424550, 163544036697306396, 855242362045150398 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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

LINKS

Table of n, a(n) for n=0..13.

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[ 3, 3, 3 ] ] (* This Mathematica program contains undefined functions and at present does not work. *)

CROSSREFS

Cf. A000372, A006360, A006361, A006362, A056932, A056933, A056934, A056935, A056936.

Sequence in context: A188337 A109120 A128483 * A251839 A122472 A252402

Adjacent sequences:  A056934 A056935 A056936 * A056938 A056939 A056940

KEYWORD

nonn,easy

AUTHOR

Mitch Harris

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 18 12:24 EDT 2018. Contains 316321 sequences. (Running on oeis4.)