|
| |
|
|
A084875
|
|
Number of (k,m,n)-antichains of multisets with k=3 and m=3.
|
|
0
| |
|
|
0, 0, 1, 350, 24025, 1061570, 38306701, 1238697950, 37547263825, 1093418309690, 31035659056501, 866306577308150, 23915774118612025, 655397866616830610, 17872808187862527901, 485794481046271815950, 13175146525408965630625
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,4
|
|
|
COMMENTS
| 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.
Index to sequences with linear recurrences with constant coefficients, signature (77,-2277,32895,-242514,854388,-1102248)
|
|
|
FORMULA
| 1/3!*(27^n - 6*18^n+6*14^n+3*9^n - 6*6^n+2*3^n).
G.f. -x^2*(-1-273*x+648*x^2+24300*x^3) / ( (18*x-1)*(9*x-1)*(6*x-1)*(3*x-1)*(14*x-1)*(27*x-1) ). - R. J. Mathar, Jul 08 2011
|
|
|
CROSSREFS
| Cf. A016269, A047707, A051112-A051118, A084869-A084883.
Sequence in context: A190645 A108776 A184609 * A074203 A045126 A025385
Adjacent sequences: A084872 A084873 A084874 * A084876 A084877 A084878
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Goran Kilibarda, Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 10 2003
|
| |
|
|
