!就是阶乘的阶乘,也就是对阶乘再取阶乘.
(2n-1)!= (2n-1)(2n-2)(2n-3)...1
(2n-1)!= ((2n-1)!)!= [(2n-1)(2n-2)(2n-3)...1][(2n-1)(2n-2)(2n-3)...1-1][(2n-1)(2n-2)(2n-3)...1-2][(2n-1)(2n-2)(2n-3)...3]...1
即
3!= 3×2×1= 6
3!= (3×2×1)!=6×5×4×3×2×1=720
!就是阶乘的阶乘,也就是对阶乘再取阶乘.
(2n-1)!= (2n-1)(2n-2)(2n-3)...1
(2n-1)!= ((2n-1)!)!= [(2n-1)(2n-2)(2n-3)...1][(2n-1)(2n-2)(2n-3)...1-1][(2n-1)(2n-2)(2n-3)...1-2][(2n-1)(2n-2)(2n-3)...3]...1
即
3!= 3×2×1= 6
3!= (3×2×1)!=6×5×4×3×2×1=720