{"url":"https://info.atcoder.jp/entry/algorithm_lectures/faulhaber_formula","height":"190","version":"1.0","author_name":"atcoder","description":"1. \u6982\u8981 \u6b63\u6574\u6570\u306e $0$ \u4e57\u548c\uff0c $1$ \u4e57\u548c\uff0c $2$ \u4e57\u548c\uff0c $3$ \u4e57\u548c\u306b\u3064\u3044\u3066 $$ \\begin{aligned} \\sum _ {n = 1} ^ N n ^ 0 &= N,\\\\ \\sum _ {n = 1} ^ N n ^ 1 &= \\frac12 N(N+1) = \\frac12 N ^ 2 + \\frac12 N,\\\\ \\sum _ {n = 1} ^ N n ^ 2 &= \\frac16 N(N+1)(2N+1) = \\frac{1}{3}N ^ 3 + \\frac12 N ^ 2 + \\frac16 N,\\\\ \\sum _ {n = 1} ^ N n ^ 3 &= \\\u2026","categories":["\u591a\u9805\u5f0f\u30fb\u5f62\u5f0f\u7684\u3079\u304d\u7d1a\u6570","\u6570\u5217"],"provider_url":"https://hatena.blog","title":"Faulhaber \u306e\u516c\u5f0f","image_url":"https://cdn.user.blog.st-hatena.com/default_entry_og_image/158934417/1702097020779738","published":"2026-04-10 14:15:37","blog_title":"AtCoderInfo","type":"rich","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Finfo.atcoder.jp%2Fentry%2Falgorithm_lectures%2Ffaulhaber_formula\" title=\"Faulhaber \u306e\u516c\u5f0f - AtCoderInfo\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","provider_name":"Hatena Blog","author_url":"https://blog.hatena.ne.jp/atcoder/","blog_url":"https://info.atcoder.jp/","width":"100%"}