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A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers.〔.〕 The centered octagonal numbers are the same as the odd square numbers.〔 Thus, the ''n''th centered octagonal number is given by the formula : The first few centered octagonal numbers are :1, 9, 25, 49, 81, 121, 169, 225, 289, 361, 441, 529, 625, 729, 841, 961, 1089. Calculating Ramanujan's tau function on a centered octagonal number yields an odd number, whereas for any other number the function yields an even number.〔 ==See also== * Octagonal number 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「centered octagonal number」の詳細全文を読む スポンサード リンク
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