五角錐數是一個有形數，代表可以裝進五角錐裏的物體數量[1]。第 n {\displaystyle n} 個五角錐數等於前 n {\displaystyle n} 個五邊形數的和。
其前几项为：0,1,6,18,40,75,126,196,288,405,550,726,936,1183,1470…（OEIS數列A002411）
第 n {\displaystyle n} 个五角锥数的公式為（当中n必为整数）[2]：
所以第 n {\displaystyle n} 個五角錐數為 n 2 {\displaystyle n^{2}} 與 n 3 {\displaystyle n^{3}} 的平均數[2]。第 n {\displaystyle n} 個五角錐數同時等於第 n {\displaystyle n} 個三角形數的 n {\displaystyle n} 倍[1]。
五角錐數的母函數為[1]
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