{"type":"rich","blog_url":"https://e10s.hateblo.jp/","provider_url":"https://hatena.blog","height":"190","width":"100%","url":"https://e10s.hateblo.jp/entry/2015/08/31/184232","author_url":"https://blog.hatena.ne.jp/electrolysis/","title":"(1+x^k) \u306e\u4e57\u7a4d\u3092\u5c55\u958b\u3057\u305f\u3068\u304d\u306e\u4fc2\u6570","provider_name":"Hatena Blog","author_name":"electrolysis","version":"1.0","description":"\u4f55\u5e74\u304b\u524d\u306b\u306a\u305c\u304b\u6c17\u306b\u306a\u3063\u3066\u3001\u3067\u3082\u305d\u306e\u307e\u307e\u306b\u3057\u3066\u3044\u305f\u554f\u984c\u3092\u30b7\u30f3\u30d7\u30eb\u306b\u3057\u305f\u7269\u3060\u304c\u3001\u6570\u5b66\u71b1\u304c\u9ad8\u3044\u3053\u3068\u3092\u7406\u7531\u306b\u6539\u3081\u3066\u8003\u3048\u3066\u307f\u305f\u3002\u4eca\u6c17\u306b\u3057\u3066\u3044\u308b\u5f0f\u306f\u3001$$\\begin{align} Q_n(x) &= (1+x)(1+x^2)(1+x^3) \\cdots (1+x^n) \\\\ &= \\prod_{k=1}^{n}(1 + x^k)\\end{align}$$\u3067\u3042\u308b\u3002\u3053\u306e $Q_n(x)$ \u306f $x$ \u306e $\\frac{n(n+1)}{2}$ \u6b21\u5f0f\u3067\u3042\u308b\u304c\u3001\u3053\u308c\u3092\u5c55\u958b\u3059\u308b\u3068\u3069\u3046\u306a\u308b\u306e\u304b\u3068\u3044\u3046\u554f\u984c\u3002\u307e\u305a\u3001\u5c55\u958b\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306a\u5f62\u306e\u591a\u9805\u5f0f\u3068\u306a\u308b\u3002$$\\begin{align} Q_n(x) &= a_0 + a\u2026","categories":["\u6570\u5b66"],"image_url":"https://cdn.blog.st-hatena.com/images/theme/og-image-1500.png","published":"2015-08-31 18:42:32","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fe10s.hateblo.jp%2Fentry%2F2015%2F08%2F31%2F184232\" title=\"(1+x^k) \u306e\u4e57\u7a4d\u3092\u5c55\u958b\u3057\u305f\u3068\u304d\u306e\u4fc2\u6570 - \u30e8\u30fc\u30ad\u30e7\u30af\u30c7\u30a4\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","blog_title":"\u30e8\u30fc\u30ad\u30e7\u30af\u30c7\u30a4"}