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Identifier
Values
[1] => 1
[2] => 1
[1,1] => 3
[3] => 1
[2,1] => 6
[1,1,1] => 10
[4] => 1
[3,1] => 6
[2,2] => 3
[2,1,1] => 30
[1,1,1,1] => 35
[5] => 1
[4,1] => 6
[3,2] => 6
[3,1,1] => 30
[2,2,1] => 30
[2,1,1,1] => 140
[1,1,1,1,1] => 126
[6] => 1
[5,1] => 6
[4,2] => 6
[4,1,1] => 30
[3,3] => 3
[3,2,1] => 60
[3,1,1,1] => 140
[2,2,2] => 10
[2,2,1,1] => 210
[2,1,1,1,1] => 630
[1,1,1,1,1,1] => 462
[7] => 1
[6,1] => 6
[5,2] => 6
[5,1,1] => 30
[4,3] => 6
[4,2,1] => 60
[4,1,1,1] => 140
[3,3,1] => 30
[3,2,2] => 30
[3,2,1,1] => 420
[3,1,1,1,1] => 630
[2,2,2,1] => 140
[2,2,1,1,1] => 1260
[2,1,1,1,1,1] => 2772
[1,1,1,1,1,1,1] => 1716
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Description
The value of the forgotten symmetric functions when all variables set to 1.
Let $f_\lambda(x)$ denote the forgotten symmetric functions.
Then the statistic associated with $\lambda$, where $\lambda$ has $\ell$ parts,
is $f_\lambda(1,1,\dotsc,1)$ where there are $\ell$ variables substituted by $1$.
References
[1] Stanley, R. P. Enumerative combinatorics. Vol. 2 MathSciNet:1676282
Created
Jul 11, 2020 at 09:56 by Per Alexandersson
Updated
Jul 11, 2020 at 09:56 by Per Alexandersson