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Table 2 Extreme values of contour functions where k is known

From: Some certain properties of the generalized hypercubical functions

Dimension k Optimal dimension n 0 maxHC Error
0 3.461632145 1.129017388 6.619 × 10-15
1 2.461632145 2.258347771 3.818 × 10-14
2 1.461632145 9.033391083 -3.179 × 10-12
3 0.461632145 54.20034650 -2.964 × 10-11
4 0 384 0
. . . . . . . . . . . .
j 0 2 k Γ ( j + 1 ) Γ ( j - 2 ) 0
. . . . . . . . . . . .
k 0 2 n Γ ( n + 1 ) Γ ( n - 2 ) 0