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Identifier
Values
[1] => 1
[2] => 1
[1,1] => 4
[3] => 1
[2,1] => 4
[1,1,1] => 27
[4] => 1
[3,1] => 4
[2,2] => 4
[2,1,1] => 27
[1,1,1,1] => 256
[5] => 1
[4,1] => 4
[3,2] => 4
[3,1,1] => 27
[2,2,1] => 27
[2,1,1,1] => 256
[1,1,1,1,1] => 3125
[6] => 1
[5,1] => 4
[4,2] => 4
[4,1,1] => 27
[3,3] => 4
[3,2,1] => 27
[3,1,1,1] => 256
[2,2,2] => 27
[2,2,1,1] => 256
[2,1,1,1,1] => 3125
[1,1,1,1,1,1] => 46656
[7] => 1
[6,1] => 4
[5,2] => 4
[5,1,1] => 27
[4,3] => 4
[4,2,1] => 27
[4,1,1,1] => 256
[3,3,1] => 27
[3,2,2] => 27
[3,2,1,1] => 256
[3,1,1,1,1] => 3125
[2,2,2,1] => 256
[2,2,1,1,1] => 3125
[2,1,1,1,1,1] => 46656
[1,1,1,1,1,1,1] => 823543
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Description
The value of the power-sum symmetric function evaluated at 1.
The statistic is $p_\lambda(x_1,\dotsc,x_k)$ evaluated at $x_1=x_2=\dotsb=x_k$,
where $\lambda$ has $k$ parts.
References
[1] Stanley, R. P. Enumerative combinatorics. Vol. 2 MathSciNet:1676282
Created
Jul 11, 2020 at 10:03 by Per Alexandersson
Updated
Jul 11, 2020 at 10:03 by Per Alexandersson