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中心六边形数

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中心六边形数(Centered hexagonal number,或直接叫hex number)是以点表示,可围绕中心一点排成正六边形有形数。第个中心六边形数为

中心六边形数常见于在包装圆柱形物件,因为那是平面上排圆形最省空间的排法,因为6二维牛顿数英语Kissing number

个中心六边形数之和是的立方,因此,中心六角锥数立方数是相同的数,但显示成不同的形状。从另一个角度来看,中心六边形数就是两个立方数之差。

中心六边形数同时是立方质数

中心六边形数为1719376191127169217271...(OEIS:A003215

其中91, 8911, 873181等数不但是中心六边形数,而且是三角形数(其后的数都十分大,而其中的91还是四角锥数)。而169及32761则同时是中心六边形数和平方数

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中心六边形数
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