|
Search: id:A060368
|
|
|
| A060368 |
|
Number of irreducible representations of the symmetric group S_n that have even degree. |
|
+0
2
|
|
| 0, 0, 1, 1, 3, 3, 7, 14, 22, 26, 40, 45, 69, 71, 112, 215, 281
(list; graph; listen)
|
|
|
OFFSET
|
1,5
|
|
|
FORMULA
|
The total number of irreducible representations of S_n is the partition function p(n) (sequence A000041) and the number of irreducible representations of the symmetric group S_n that have odd degree is given in A059867 so a(n) = A000041(n) - A059867(n) for n >= 1
|
|
EXAMPLE
|
a(3) = 1 because the degrees of the irreducible representations of S_3 are 1,1,2.
|
|
CROSSREFS
|
A059867, A000041.
Adjacent sequences: A060365 A060366 A060367 this_sequence A060369 A060370 A060371
Sequence in context: A134346 A049772 A119470 this_sequence A056420 A030069 A004043
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Avi Peretz (njk(AT)netvision.net.il), Apr 01 2001
|
|
|
Search completed in 0.002 seconds
|
