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A055512 Lattices with n labeled elements. 6
1, 1, 2, 6, 36, 380, 6390, 157962, 5396888, 243179064, 13938711210, 987858368750, 84613071940452, 8597251494954564, 1020353444641839854, 139627532137612581090, 21788453795572514675760, 3840596246648027262079472, 758435490711709577216754642 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

D. J. Kleitman and K. J. Winston, The asymptotic number of lattices, in: Combinatorial mathematics, optimal designs and their applications (Proc. Sympos. Combin. Math. and Optimal Design, Colorado State Univ., Fort Collins, Colo., 1978), Ann. Discrete Math. 6 (1980), 243-249.

J. Heitzig and J. Reinhold, Counting finite lattices, Algebra Universalis, 48 (2002), 43-53.

LINKS

David Wasserman, Table of n, a(n) for n = 0..18

J. Heitzig and J. Reinhold, Counting finite lattices, preprint no. 298, Institut für Mathematik, Universität Hanover, Germany, 1999.

Alan Veliz-Cuba, Reinhard Laubenbacher, Dynamics of semilattice networks with strongly connected dependency graph, Automatica (2019) Vol. 99, 167-174.

Index entries for "core" sequences

CROSSREFS

Cf. A006966, A001035. Main diagonal of A058159.

Sequence in context: A196870 A089709 A262234 * A078973 A208650 A152480

Adjacent sequences:  A055509 A055510 A055511 * A055513 A055514 A055515

KEYWORD

core,hard,nonn,nice

AUTHOR

Jobst Heitzig (heitzig(AT)math.uni-hannover.de), Jul 03 2000

STATUS

approved

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Last modified July 15 00:36 EDT 2020. Contains 335762 sequences. (Running on oeis4.)