|
Search: id:A133119
|
|
|
| A133119 |
|
Number of permutations of [n] with 3 cycle lengths. |
|
+0
1
|
|
| 120, 1050, 12712, 141876, 1418400, 17061660, 212254548, 2735287698, 37354035628, 581350330470, 8895742806480
(list; graph; listen)
|
|
|
OFFSET
|
6,1
|
|
|
FORMULA
|
We obtain e.g.f. for number of permutations of [n] with m cycle lengths if we substitute x(i) with -Sum_{k>0} ((1-exp(x^k/k))^i in cycle index Z(S(m); x(1),x(2),..,x(m)) of symmetric group S(m) of degree m.
|
|
CROSSREFS
|
Cf. A005225, A005772, A038041, A088142.
Sequence in context: A029573 A011245 A092182 this_sequence A052777 A052765 A052776
Adjacent sequences: A133116 A133117 A133118 this_sequence A133120 A133121 A133122
|
|
KEYWORD
|
easy,more,nonn
|
|
AUTHOR
|
Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 18 2007
|
|
|
Search completed in 0.002 seconds
|
