|
|
A274691
|
|
Number of odd entries in the character table of the symmetric group S_n.
|
|
2
|
|
|
1, 1, 4, 7, 19, 33, 77, 135, 218, 392, 798, 1312, 2381, 4107, 6639, 11722, 15869, 26333, 45115, 69168, 106213, 170710, 244042, 384991, 592859, 895944, 1326012, 2055454, 2884762, 4466493, 6553384, 9798596, 13336991, 20192347, 28680574, 41695293, 59766105, 86344867
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
EXAMPLE
|
For n = 2, all four character values are 1 or -1, so a(2) = 4.
|
|
MAPLE
|
with(combinat):
a:= n-> add(`if`(i[]::odd, 1, 0), i=entries(character(n))):
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|