p(n)可以有通项公式吗？

northwolves

最小值成立条件： $x=\frac{2n}{2n-3}* (\frac{n-1}{2})^{\frac{1}{3}},y=2* (\frac{n-1}{2})^{\frac{1}{3}}$

王守恩

这串数是在慢慢长大，可以有根式解？！
{{0.9608, {x -> 0.124016, y -> 0.344453}}, {1.76276, {x -> 0.387274, y -> 0.576939}}, {2.4196, {x -> 0.664982, y -> 0.720391}}, {2.97638, {x -> 0.931359, y -> 0.81999}},
{3.46274, {x -> 1.18362, y -> 0.895512}}, {3.89712, {x -> 1.42283, y -> 0.95619}}, {4.29145, {x -> 1.65061, y -> 1.0069}}, {4.65392, {x -> 1.86844, y -> 1.0505}}, {4.99034, {x -> 2.07756, y -> 1.08877}}}

1. Table[NMinimize[{(x y^2)/(x + y) + (x^2 + n y)/(x y + y), x > 0, y > 0}, {x, y}], {n, 1, 9}]

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