𝑾 生成斐波那契词Generate Fibonacci Words
生成斐波那契词：S0=0，S1=01（或 a/b 字母），S_n = S_{n-1}+S_{n-2}。可输出某一项或前几项，本地处理。Generate Fibonacci words: S0=0, S1=01 (or a/b letters), S_n = S_{n-1}+S_{n-2}. One term or the first few. Processed locally.
使用说明与常见问题How-to & FAQ
「生成斐波那契词」是什么？What is the Generate Fibonacci Words tool?
生成斐波那契词：S0=0，S1=01（或 a/b 字母），S_n = S_{n-1}+S_{n-2}。可输出某一项或前几项，本地处理。Generate Fibonacci words: S0=0, S1=01 (or a/b letters), S_n = S_{n-1}+S_{n-2}. One term or the first few. Processed locally.
如何使用「生成斐波那契词」？How do I use the Generate Fibonacci Words tool?
在「生成斐波那契词」中，按需设置「模式」、「n」，结果会实时显示在下方，点击「复制结果」即可复制。In the Generate Fibonacci Words: Adjust "Mode", "n"; the result appears below instantly — click "Copy result" to copy it.
拼接顺序？In what order are words concatenated?
S_n 等于 S_{n-1} 后面接上 S_{n-2}（先长后短）：S0=0，S1=01，S2=010，S3=01001，S4=01001010。勾选「用 a/b」时把 0 换成 a、1 换成 b，例如 S4=abaababa。S_n is S_{n-1} followed by S_{n-2} (longer first): S0=0, S1=01, S2=010, S3=01001, S4=01001010. With Use a/b ticked, 0 becomes a and 1 becomes b, so S4 is abaababa.
n 最大是多少？How large can n be?
只要 S_n 时 n 可到 30（S30 长 2178309 个字符，长度是斐波那契数 F(n+2)）。列表模式会把 S0…S_n 全部输出，总长度约为单项的 2.6 倍，所以上限是 24。超出范围会提示，不会悄悄截断。For a single S_n, n can be up to 30 (S30 has 2,178,309 characters; the length is the Fibonacci number F(n+2)). List mode prints every word S0…S_n, about 2.6 times as much text, so its limit is 24. Values outside the range give a message instead of being cut silently.
结果精确吗？Is the result exact?
精确。结果是由 0/1（或 a/b）组成的文本，逐位拼接生成，不经过浮点计算，长度也按整数精确计数。Yes. The result is text made of 0/1 (or a/b), built by joining strings with no floating-point arithmetic (processed as text), and the length is an exact integer count.
输入和输出是什么样的？What does the input and output look like?
例如在「生成斐波那契词」中把「n」设为 3，「模式」设为 只要 S_n，输出为：01001。For example, in the Generate Fibonacci Words with "n" set to 3, "Mode" set to Only S_n, the output is: 01001.
有哪些选项可以调整？What options can I adjust?
「生成斐波那契词」的设置：「模式」可选 只要 S_n、列出 S0…S_n（默认 只要 S_n）；「n」默认 8；可勾选：「用 a/b 而非 0/1」。每次生成结果都按当前设置处理。Settings in the Generate Fibonacci Words — "Mode": Only S_n, List S0…S_n (default Only S_n); "n" default 8; tick boxes: "Use a/b instead of 0/1". The result always uses the current settings.
「生成斐波那契词」免费吗？需要注册吗？Is the Generate Fibonacci Words free? Do I need an account?
「生成斐波那契词」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Generate Fibonacci Words is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.