COMPUTATION OF P(14)
THE NUMBER OF POSETS WITH 14 ELEMENTS : 1.338.193.159.771

N. Lygeros and P. Zimmermann

 

For the history of this subject see records in combinatorics and number theory.
For the precise table of the computation of the number of posets with 12 or 13 elements see P(12) or P(13).

REFERENCES

  • Calculs exhaustifs sur les posets d'au plus 7 éléments.
    SINGULARITE, vol.2 n4 p.10-24, avril 1991. (N.Lygeros)
  • Petits posets : dénombrement, représentabilité par cercles et compenseurs.
    C.R.Acad.Sci.Paris, t.313, s.I, p.417-420, septembre 1991. (R.Fraïssé, N.Lygeros)
  • The number of orders with thirteen elements.
    Order, vol.9 p.203-204, 1992 (C.Chaunier, N.Lygeros)
  • Le nombre de posets à isomorphie près ayant 12 éléments.
    Theoretical Computer Science, n123 p.89-94, février 1994. (C.Chaunier, N.Lygeros)

    HELPERS

    Robert Erra, Bernard Landreau, John Lygeros, Jon Kierkegaard, Ilias Kotsireas, Thomas Papanikolaou, Robert Piche.

    PARTIAL RESULTS:

    RelationsP(14,r)Namefile
    r=01--
    r=11--
    r=23--
    r=37--
    r=419--
    r=547--
    r=6133--
    r=7355--
    r=81020--
    r=92921--
    r=108632--
    r=1125486--
    r=1275366--
    r=13217990--
    r=14613701--
    r=151659796--
    r=164290662--
    r=1710541968--
    r=1824574810--
    r=1954282974--
    r=20113695015--
    r=21226043606--
    r=22427434085--
    r=23770364708N. Lygeros-
    r=241326574992P. Zimmermann-
    r=252187816296Ilias Kotsireas-
    r=263463953205Jon Kierkegaardres26
    r=275276878418Jon Kierkegaardres27
    r=287750426625 Robert Erra, N. Lygeros res28
    r=2910995675430 P. Zimmermann-
    r=3015093556839 Ilias Kotsireas, N. Lygerosres30
    r=3120075844431 Robert Piche, N. Lygerosres31
    r=3225908418088Robert Piche-
    r=3332478923331Robert Piche-
    r=3439592931224Robert Piche-
    r=3546979502004Robert Picheres35
    r=3654307727007N. Lygerosres36
    r=3761211924728Bernard Landreau-
    r=3867323642504Thomas Papanikolaoures38
    r=3972305442194 Jon Kierkegaard, P. Zimmermannres39
    r=4075882802702 Jon Kierkegaard, P. Zimmermannres40
    r=4177869195951Bernard Landreaures41
    r=4278181684187 Jon Kierkegaard, P. Zimmermannres42
    r=4376844939859 P. Zimmermannres43
    r=4473984081629N. Lygerosres44
    r=4569807866652 Robert Piche, P. Zimmermann res45
    r=4664585100397 Jon Kierkegaard, N. Lygerosres46
    r=4758617924003 Jon Kierkegaard, P. Zimmermannres47
    r=4852215061893 N. Lygerosres48
    r=4945668403312Bernard Landreaures49
    r=5039234427091Jon Kierkegaardres50
    r=5133122134980 Jon Kierkegaard, N. Lygeros res51
    r=5227486947185Jon Kierkegaardres52
    r=5322430638497Jon Kierkegaardres53
    r=5418005406984Jon Kierkegaardres54
    r=5514221396017Jon Kierkegaardres55
    r=5611055548408Jon Kierkegaardres56
    r=578461181255John Lygerosres57
    r=586376703312Robert Errares58
    r=594733381232Jon Kierkegaardres59
    r=603461298437 N. Lygeros-
    r=612493875402--
    r=621770675277--
    r=631239039207--
    r=64854569812--
    r=65580970065--
    r=66389321463--
    r=67257162269--
    r=68167425100--
    r=69107425128--
    r=7067918114--
    r=7142302121--
    r=7225947267--
    r=7315667333--
    r=749307819--
    r=755436986--
    r=763120222--
    r=771757459--
    r=78970342--
    r=79524242--
    r=80276596--
    r=81142020--
    r=8270684--
    r=8333907--
    r=8415527--
    r=856724--
    r=862701--
    r=87978--
    r=88309--
    r=8978--
    r=9013--
    r=911--