Search: id:A084877
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%I A084877
%S A084877 0,0,0,114,649850,678772108,377819587984,153135104560046,
%T A084877 51758494975477206,15644366957608679376,4400899140179858419388,
%U A084877 1180668574169021790713938,306827161657039584492179842
%N A084877 Number of (k,m,n)-antichains of multisets with k=3 and m=5.
%C A084877 By a (k,m,n)-antichain of multisets we mean an m-antichain of k-bounded 
               multisets on an n-set. A multiset is called k-bounded if every its 
               element has the multiplicity not greater than k-1.
%H A084877 Goran Kilibarda and Vladeta Jovovic, <a href="http://www.cs.uwaterloo.ca/
               journals/JIS/index.html">Antichains of Multisets</a>, J. Integer 
               Seqs., Vol. 7, 2004.
%F A084877 1/5!*(243^n - 20*162^n + 60*126^n + 20*108^n + 10*98^n - 120*93^n - 120*84^n 
               + 10*81^n + 30*78^n + 120*77^n + 120*70^n - 120*63^n + 20*56^n - 
               120*54^n + 240*42^n + 40*36^n - 240*31^n + 35*27^n + 60*26^n - 210*18^n 
               + 210*14^n + 50*9^n - 100*6^n + 24*3^n).
%Y A084877 Cf. A016269, A047707, A051112-A051118, A084869-A084883.
%Y A084877 Sequence in context: A108344 A162675 A112485 this_sequence A060309 A101111 
               A131603
%Y A084877 Adjacent sequences: A084874 A084875 A084876 this_sequence A084878 A084879 
               A084880
%K A084877 nonn
%O A084877 0,4
%A A084877 Goran Kilibarda, Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 10 2003

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