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八面體數

八面體數是能排成八面體有形數, 或是由兩個四角錐疊起來, 另一個倒置在下面. 計算八面體數可以用第n-1個和第n四角錐數 , 或是使用下列公式:

前幾個八面體數為:

1, 6, 19, 44, 85, 146, 231, 344, 489, 670, 891 (OEIS數列A005900)。

八面體數有一個母函數

波洛克爵士英语Sir Frederick Pollock, 1st Baronet猜想在1850之內,每一個數字都可以寫成最多7八面體數的總和(Dickson 2005, 第23頁)。

八面體數可以使用三角形數表示

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