(1)当a为大于1的奇数2n+1时,b=2n²+2n,c=2n²+2n+1。实际上就是把a的平方数拆成两个连续自然数,例如:
n=1时(a,b,c)=(3,4,5)
n=2时(a,b,c)=(5,12,13)
n=3时(a,b,c)=(7,24,25)
(2)当a为大于4的偶数2n时,b=n²-1,c=n²+1,也就是把a的一半的平方分别减1和加1,例如:
n=3时(a,b,c)=(6,8,10)
n=4时(a,b,c)=(8,15,17)
n=5时(a,b,c)=(10,24,26)
a | b | c |
3 | 4 | 5 |
5 | 12 | 13 |
6 | 8 | 10 |
7 | 24 | 25 |
8 | 15 | 17 |
9 | 12 | 15 |
9 | 40 | 41 |
10 | 24 | 26 |
11 | 60 | 61 |
12 | 16 | 20 |
12 | 35 | 37 |
13 | 84 | 85 |
14 | 48 | 50 |
15 | 20 | 25 |
15 | 36 | 39 |
16 | 30 | 34 |
16 | 63 | 65 |
18 | 24 | 30 |
18 | 80 | 82 |
20 | 21 | 29 |
20 | 48 | 52 |