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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

%I

%S 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,

%T 12,12,16,18,30,14,20,26,16,20,22,20,26,25,24,24,32,16,32,30,26,24,32,

%U 32,40,32,34,32,32,34,44,30,44,36,52,34,54,38,56,50

%N 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.

%e 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.

%o (Sage)

%o def A060369(n) :

%o mult = {}

%o for P in Partitions(n):

%o dim = P.dimension()

%o mult[dim] = mult.get(dim, 0) + 1

%o return max(mult.values())

%o # _Eric M. Schmidt_, May 01 2013

%K nonn

%O 1,2

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

%E More terms from _Eric M. Schmidt_, May 01 2013

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Last modified May 28 15:33 EDT 2020. Contains 334684 sequences. (Running on oeis4.)