Largest roots of cubic polynomials
Let an be the largest real root of a polynomial g(x) = x3 - 2n·x2 + n.
For example, a2 = 3.86619826…
Find the last eight digits of $sum^{30}_{i=1} lfloor a_i^{987654321} rfloor$.
Note: $lfloor a rfloor$ represents the floor function.
三次多项式的最大根
记an为多项式g(x) = x3 - 2n·x2 + n的最大实根。
例如,a2 = 3.86619826…
求$sum^{30}_{i=1} lfloor a_i^{987654321} rfloor$的最后8位数字。
注:$lfloor a rfloor$表示下取整函数。
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