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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
LINKS
Sean A. Irvine, Table of n, a(n) for n = 0..19 (terms 0..18 from David Wasserman)
J. Heitzig and J. Reinhold, Counting finite lattices, preprint no. 298, Institut für Mathematik, Universität Hanover, Germany, 1999.
Sean A. Irvine, Java program (github).
J. Heitzig and J. Reinhold, Counting finite lattices, Algebra univers. 48, 43-53 (2002).
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.
Alan Veliz-Cuba and Reinhard Laubenbacher, Dynamics of semilattice networks with strongly connected dependency graph, Automatica (2019) Vol. 99, 167-174.
CROSSREFS
Cf. A006966, A001035. Main diagonal of A058159.
Sequence in context: A089709 A262234 A371043 * A078973 A208650 A152480
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 March 19 07:04 EDT 2024. Contains 370953 sequences. (Running on oeis4.)