Identifier
- St001563: Integer partitions ⟶ ℤ
Values
=>
Cc0002;cc-rep
[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.
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
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