|
Search: id:A084874
|
|
|
| A084874 |
|
Number of (k,m,n)-antichains of multisets with k=3 and m=2. |
|
+0
1
|
|
| 0, 0, 9, 162, 2025, 21870, 219429, 2112642, 19847025, 183642390, 1682955549, 15327821322, 139038251625, 1257873017310, 11360034454869, 102475388237202, 923689006041825, 8321664254958630, 74945757885541389, 674816499677616282
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
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.
|
|
LINKS
|
Goran Kilibarda and Vladeta Jovovic, Antichains of Multisets, J. Integer Seqs., Vol. 7, 2004.
|
|
FORMULA
|
1/2!*(9^n - 2*6^n+3^n).
|
|
CROSSREFS
|
Cf. A016269, A047707, A051112-A051118, A084869-A084883.
Sequence in context: A023039 A159831 A133793 this_sequence A158749 A133681 A157553
Adjacent sequences: A084871 A084872 A084873 this_sequence A084875 A084876 A084877
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Goran Kilibarda, Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 10 2003
|
|
|
Search completed in 0.002 seconds
|
