atcoder https://blog.hatena.ne.jp/atcoder/ AtCoderInfo https://info.atcoder.jp/ 多項式・形式的べき級数 数列 1. 概要 正整数の $0$ 乗和， $1$ 乗和， $2$ 乗和， $3$ 乗和について $$ \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 &= \… 190 <iframe src="https://hatenablog-parts.com/embed?url=https%3A%2F%2Finfo.atcoder.jp%2Fentry%2Falgorithm_lectures%2Ffaulhaber_formula" title="Faulhaber の公式 - AtCoderInfo" class="embed-card embed-blogcard" scrolling="no" frameborder="0" style="display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;"></iframe> https://cdn.user.blog.st-hatena.com/default_entry_og_image/158934417/1702097020779738 Hatena Blog https://hatena.blog 2026-04-10 14:15:37 rich https://info.atcoder.jp/entry/algorithm_lectures/faulhaber_formula 1.0 100%