Search: id:A050437
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%I A050437
%S A050437 1,2,3,5,7,11,13,19,23,29,35,45,51,62,69,79,90,106,118,134,146,161,176,
%T A050437 195,212,233,255,277,293,315,337,370,395,421
%N A050437 Dimension of space spanned by symmetric powers of n-dimensional standard 
               representation of symmetric group S_n.
%H A050437 David Savitt and R. P. Stanley, A Note on the Symmetric Powers of the 
               Standard Representation of S_n, <a href="http://www.combinatorics.org/
               ">Electronic J. Combinat.</a>, 7 (2000) #R6.
%e A050437 a(7)=13: this is the smallest case for which the symmetric powers do 
               not span the space of all class functions
%Y A050437 Sequence in context: A079151 A005728 A049643 this_sequence A096246 A106639 
               A078334
%Y A050437 Adjacent sequences: A050434 A050435 A050436 this_sequence A050438 A050439 
               A050440
%K A050437 nonn
%O A050437 1,2
%A A050437 R. P. Stanley (rstan(AT)math.mit.edu), Dec 23 1999
%E A050437 More terms from David Savitt (dsavitt(AT)math.harvard.edu) and Mark Dickinson, 
               Feb 28 2000

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