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%I #11 Jan 28 2019 08:08:41
%S 1,2,3,5,7,11,13,19,23,29,35,45,51,62,69,79,90,106,118,134,146,161,
%T 176,195,212,233,255,277,293,315,337,370,395,421
%N Dimension of space spanned by symmetric powers of n-dimensional standard representation of symmetric group S_n.
%H David Savitt and R. P. Stanley, <a href="https://www.combinatorics.org/ojs/index.php/eljc/article/view/v7i1r6">A Note on the Symmetric Powers of the Standard Representation of S_n</a>, Electronic J. Combinat, 7 (2000) #R6.
%e a(7)=13: this is the smallest case for which the symmetric powers do not span the space of all class functions.
%K nonn,more
%O 1,2
%A _Richard Stanley_, Dec 23 1999
%E More terms from David Savitt (dsavitt(AT)math.harvard.edu) and Mark Dickinson, Feb 28 2000