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A118077 Number of edges in the representation of all linear extensions of the inclusion ordering on P({1,...,n}) as distributive lattice contained in P(P({1,...,n})). 1
1, 2, 6, 32, 454, 35512, 66584412 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

The numbers of vertices are the Dedekind numbers (A000372) and A046873 is the total number of linear extensions.

EXAMPLE

a(1) = 6 as the lattice is { {}, { {} }, { {}, {1} }, { {}, {2} }, { {}, {1}, {2}}, { {}, {1}, {2}, {1, 2} } }.

PROG

Python, using an inference method for computing the set of linear extensions of arbitrary posets.

CROSSREFS

Cf. A046873, A000372.

Sequence in context: A001199 A034997 A067735 * A013976 A083666 A083126

Adjacent sequences:  A118074 A118075 A118076 * A118078 A118079 A118080

KEYWORD

hard,nonn

AUTHOR

Oliver W. Wienand (wienand(AT)mathematik.uni-kl.de), Apr 11 2006

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Last modified February 16 11:43 EST 2012. Contains 205907 sequences.