A050437 Dimension of space spanned by symmetric powers of n-dimensional standard representation of symmetric group S_n.

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

Offset

1,2

Links

Table of n, a(n) for n=1..34.

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.

Example

a(7)=13: this is the smallest case for which the symmetric powers do not span the space of all class functions.

Crossrefs

Sequence in context: A274335 A049643 A005728 * A096246 A371694 A106639

Adjacent sequences: A050434 A050435 A050436 * A050438 A050439 A050440

Keyword

nonn,more

Author

Richard Stanley, Dec 23 1999

Extensions

More terms from David Savitt (dsavitt(AT)math.harvard.edu) and Mark Dickinson, Feb 28 2000

Status

approved