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A050437
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Dimension of space spanned by symmetric powers of n-dimensional standard representation of symmetric group S_n.
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0
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1, 2, 3, 5, 7, 11, 13, 19, 23, 29, 35, 45, 51, 62, 69, 79, 90, 106, 118, 134, 146, 161, 176, 195, 212, 233, 255, 277, 293, 315, 337, 370, 395, 421
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| David Savitt and R. P. Stanley, A Note on the Symmetric Powers of the Standard Representation of S_n, Electronic J. Combinat., 7 (2000) #R6.
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EXAMPLE
| a(7)=13: this is the smallest case for which the symmetric powers do not span the space of all class functions
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CROSSREFS
| Sequence in context: A079151 A005728 A049643 * A096246 A106639 A078334
Adjacent sequences: A050434 A050435 A050436 * A050438 A050439 A050440
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KEYWORD
| nonn
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AUTHOR
| R. P. Stanley (rstan(AT)math.mit.edu), Dec 23 1999
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EXTENSIONS
| More terms from David Savitt (dsavitt(AT)math.harvard.edu) and Mark Dickinson, Feb 28 2000
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