login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A060368 Number of irreducible representations of the symmetric group S_n that have even degree. 2
0, 0, 1, 1, 3, 3, 7, 14, 22, 26, 40, 45, 69, 71, 112, 215, 281, 353, 458, 563, 728, 874, 1127, 1447, 1830, 2180, 2754, 3206, 4053, 4580, 5818, 8317, 10111, 12246, 14819, 17849, 21509, 25759, 30929, 37082, 44327, 52662, 62749, 74151, 88110, 103510, 122706 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Eric M. Schmidt, Table of n, a(n) for n = 1..1000

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.

PROG

(Sage) def A060368(n) : dig = n.digits(2); return Partitions(n).cardinality() - prod(2^n for n in range(len(dig)) if dig[n]==1) # Eric M. Schmidt, Apr 29 2013

CROSSREFS

A059867, A000041.

Sequence in context: A134346 A049772 A119470 * A218206 A218233 A218319

Adjacent sequences:  A060365 A060366 A060367 * A060369 A060370 A060371

KEYWORD

nonn

AUTHOR

Avi Peretz (njk(AT)netvision.net.il), Apr 01 2001

EXTENSIONS

More terms from Eric M. Schmidt, Apr 29 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 2 09:31 EDT 2020. Contains 334769 sequences. (Running on oeis4.)