𝐹≈ 生成类斐波那契数列Generate Fibonacci-like Series
由任意前两项按 F_n=F_{n-1}+F_{n-2} 生成数列。本地处理。可设置「项数」、「首项」、「第二项」。Generate a series from any two seeds with F_n=F_{n-1}+F_{n-2}. Processed locally. Settings: Terms, First, Second.
使用说明与常见问题How-to & FAQ
「生成类斐波那契数列」是什么？What is the Generate Fibonacci-like Series tool?
由任意前两项按 F_n=F_{n-1}+F_{n-2} 生成数列。本地处理。可设置「项数」、「首项」、「第二项」。Generate a series from any two seeds with F_n=F_{n-1}+F_{n-2}. Processed locally. Settings: Terms, First, Second.
如何使用「生成类斐波那契数列」？How do I use the Generate Fibonacci-like Series tool?
在「生成类斐波那契数列」中，按需设置「项数」、「首项」、「第二项」，结果会实时显示在下方，点击「复制结果」即可复制。In the Generate Fibonacci-like Series: Adjust "Terms", "First", "Second"; the result appears below instantly — click "Copy result" to copy it.
首项 2、第二项 1 是什么？What do seeds 2 and 1 give?
得到卢卡斯数列 2、1、3、4、7、11…；首项 0、第二项 1 就是斐波那契数列。任何两个整数都可以作种子（包括负数），之后每项都是前两项之和。They give the Lucas numbers 2, 1, 3, 4, 7, 11…; seeds 0 and 1 give the Fibonacci numbers. Any two integers can be the seeds (negative ones too), and every later term is the sum of the previous two.
结果精确吗？Are the results exact?
精确。首项和第二项按大整数（BigInt）读取，不经过浮点，最多 1000 位；小数会报错而不是被截断。项数 2–500，第 500 项也是精确的完整整数。Yes. Both seeds are read as big integers (BigInt) with no floating-point step, up to 1,000 digits; decimals give an error instead of being truncated. Terms run from 2 to 500, and even the 500th term is an exact full integer.
输入和输出是什么样的？What does the input and output look like?
例如在「生成类斐波那契数列」中把「项数」设为 5，「首项」设为 0，「第二项」设为 1，输出为：0 ⏎ 1 ⏎ 1 ⏎ 2 ⏎ 3（⏎ 表示换行）。For example, in the Generate Fibonacci-like Series with "Terms" set to 5, "First" set to 0, "Second" set to 1, the output is: 0 ⏎ 1 ⏎ 1 ⏎ 2 ⏎ 3 (⏎ marks a line break).
有哪些选项可以调整？What options can I adjust?
「生成类斐波那契数列」的设置：「项数」默认 15；「首项」默认 0；「第二项」默认 1。每次生成结果都按当前设置处理。Settings in the Generate Fibonacci-like Series — "Terms" default 15; "First" default 0; "Second" default 1. The result always uses the current settings.
「生成类斐波那契数列」免费吗？需要注册吗？Is the Generate Fibonacci-like Series free? Do I need an account?
「生成类斐波那契数列」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-like Series is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.