| 1 |
| 1 |
| 2 |
| 2 |
| 3 |
| 3 |
∴第50个值等于1的应该是
| 50 |
| 50 |
那么它前面一定有这么多个项:
分子分母和为2的有1个:
| 1 |
| 1 |
分子分母和为3的有2个:
| 1 |
| 2 |
| 2 |
| 1 |
分子分母和为4的有3个:
| 1 |
| 3 |
| 2 |
| 2 |
| 3 |
| 1 |
…
分子分母和为99的有98个:
| 1 |
| 98 |
| 98 |
| 1 |
分子分母和为100的有99个:
| 1 |
| 99 |
| 49 |
| 51 |
| 50 |
| 50 |
| 51 |
| 49 |
| 98 |
| 2 |
| 99 |
| 1 |
∴它前面共有(1+2+3+4+…+98)+49=4900,
∴它是第4901项.
故答案为:4901.
| 1 |
| 1 |
| 1 |
| 2 |
| 2 |
| 1 |
| 1 |
| 3 |
| 2 |
| 2 |
| 3 |
| 1 |
| 1 |
| k |
| 2 |
| k−1 |
| k |
| 1 |
| 1 |
| 1 |
| 2 |
| 2 |
| 3 |
| 3 |
| 50 |
| 50 |
| 1 |
| 1 |
| 1 |
| 2 |
| 2 |
| 1 |
| 1 |
| 3 |
| 2 |
| 2 |
| 3 |
| 1 |
| 1 |
| 98 |
| 98 |
| 1 |
| 1 |
| 99 |
| 49 |
| 51 |
| 50 |
| 50 |
| 51 |
| 49 |
| 98 |
| 2 |
| 99 |
| 1 |