A060369 a(n) is the maximum number of occurrences of a degree in the sequence of the degrees of the irreducible representations of the symmetric group S_n.

1, 2, 2, 2, 2, 4, 4, 2, 3, 2, 4, 4, 6, 6, 6, 4, 8, 6, 10, 6, 8, 8, 12, 8, 12, 12, 10, 12, 22, 14, 12, 12, 16, 18, 30, 14, 20, 26, 16, 20, 22, 20, 26, 25, 24, 24, 32, 16, 32, 30, 26, 24, 32, 32, 40, 32, 34, 32, 32, 34, 44, 30, 44, 36, 52, 34, 54, 38, 56, 50

Offset

1,2

Links

Table of n, a(n) for n=1..70.

Example

a(6) = 4 because the degrees for S_6 are 1,1,5,5,5,5,9,9,10,10,16 and the number 5 appears 4 times.

Prog

(Sage)
def A060369(n) :
    mult = {}
    for P in Partitions(n):
        dim = P.dimension()
        mult[dim] = mult.get(dim, 0) + 1
    return max(mult.values())
# Eric M. Schmidt, May 01 2013

Crossrefs

Sequence in context: A007457 A119802 A237120 * A179004 A143979 A034877

Adjacent sequences: A060366 A060367 A060368 * A060370 A060371 A060372

Keyword

nonn

Author

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

Extensions

More terms from Eric M. Schmidt, May 01 2013

Status

approved