在这个问题中，我设定的三角形是一个直角三角形，三条边都必须是整数。我想找出这样的数列有什么规律。

（想法一：把每一个三角形的三个边长分别看为坐标x,y,z值，然后找规律。）

 

用C语言编程，我得出了一些数列：

sjx:3,4,5.

sjx:4,3,5.

sjx:5,12,13.

sjx:6,8,10.

sjx:7,24,25.

sjx:8,6,10.

sjx:8,15,17.

sjx:9,12,15.

sjx:9,40,41.

sjx:10,24,26.

sjx:11,60,61.

sjx:12,5,13.

sjx:12,9,15.

sjx:12,16,20.

sjx:12,35,37.

sjx:13,84,85.

sjx:14,48,50.

sjx:15,8,17.

sjx:15,20,25.

sjx:15,36,39.

sjx:16,12,20.

sjx:16,30,34.

sjx:16,63,65.

sjx:18,24,30.

sjx:18,80,82.

sjx:20,15,25.

sjx:20,21,29.

sjx:20,48,52.

sjx:20,99,101.

sjx:21,20,29.

sjx:21,28,35.

sjx:21,72,75.

sjx:24,7,25.

sjx:24,10,26.

sjx:24,18,30.

sjx:24,32,40.

sjx:24,45,51.

sjx:24,70,74.

sjx:25,60,65.

sjx:27,36,45.

sjx:28,21,35.

sjx:28,45,53.

sjx:28,96,100.

sjx:30,16,34.

sjx:30,40,50.

sjx:30,72,78.

sjx:32,24,40.

sjx:32,60,68.

sjx:33,44,55.

sjx:33,56,65.

sjx:35,12,37.

sjx:35,84,91.

sjx:36,15,39.

sjx:36,27,45.

sjx:36,48,60.

sjx:36,77,85.

sjx:39,52,65.

sjx:39,80,89.

sjx:40,9,41.

sjx:40,30,50.

sjx:40,42,58.

sjx:40,75,85.

sjx:40,96,104.

sjx:42,40,58.

sjx:42,56,70.

sjx:44,33,55.

sjx:45,24,51.

sjx:45,28,53.

sjx:45,60,75.

sjx:48,14,50.

sjx:48,20,52.

sjx:48,36,60.

sjx:48,55,73.

sjx:48,64,80.

sjx:48,90,102.

sjx:51,68,85.

sjx:52,39,65.

sjx:54,72,90.

sjx:55,48,73.

sjx:56,33,65.

sjx:56,42,70.

sjx:56,90,106.

sjx:57,76,95.

sjx:60,11,61.

sjx:60,25,65.

sjx:60,32,68.

sjx:60,45,75.

sjx:60,63,87.

sjx:60,80,100.

sjx:60,91,109.

sjx:63,16,65.

sjx:63,60,87.

sjx:63,84,105.

sjx:64,48,80.

sjx:65,72,97.

sjx:66,88,110.

sjx:68,51,85.

sjx:69,92,115.

sjx:70,24,74.

sjx:72,21,75.

sjx:72,30,78.

sjx:72,54,90.

sjx:72,65,97.

sjx:72,96,120.

sjx:75,40,85.

sjx:76,57,95.

sjx:77,36,85.

sjx:80,18,82.

sjx:80,39,89.

sjx:80,60,100.

sjx:80,84,116.

sjx:84,13,85.

sjx:84,35,91.

sjx:84,63,105.

sjx:84,80,116.

sjx:88,66,110.

sjx:90,48,102.

sjx:90,56,106.

sjx:91,60,109.

sjx:92,69,115.

sjx:96,28,100.

sjx:96,40,104.

sjx:96,72,120.

sjx:99,20,101.

sjx:100,75,125.