!是阶乘的意思我知道,那!!是什么意思呀?比如(2N-1)!!怎么计算哈?
2个回答
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!!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
(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
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