A055512 - OEIS

A055512

Lattices with n labeled elements.

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.

Index entries for "core" sequences

CROSSREFS

Cf. A006966, A001035. Main diagonal of A058159.

Sequence in context: A089709 A262234 A371043 * A078973 A208650 A374453

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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