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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. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 1 09:25 EDT 2020. Contains 333159 sequences. (Running on oeis4.)