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[组合] 一道趣味题

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wzxsjz posted 2015-2-3 07:01 |Read mode
一个3x3的九宫格,每格都涂一种颜色,相邻两格不同色,有三种颜色,敢问有多少种涂法?

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tommywong posted 2015-2-3 16:48
246.png
$3\times 2\times 41=246$
f(n).png
$f(n)=n(n-1)(n^7-11n^6+55n^5-161n^4+298n^3-350n^2+244n-79)$
$f(3)=246$
现充已死,エロ当立。
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《方幂和及其推广和式》 数学学习与研究2016.

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original poster wzxsjz posted 2015-2-5 10:44
回复 2# tommywong

谢谢

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其妙 posted 2015-2-10 22:26
回复 2# tommywong
辛苦啦!

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