# Math Help - Integer Sequence and prove

1. ## Integer Sequence and prove

can you help of this question ?

2. Could you write the answer to part (a)? To remind, $\lfloor x\rfloor$ is a function that rounds $x$ down to an integer, e.g., $\lfloor 3.8\rfloor=3$.

3. Originally Posted by emakarov
Could you write the answer to part (a)? To remind, $\lfloor x\rfloor$ is a function that rounds $x$ down to an integer, e.g., $\lfloor 3.8\rfloor=3$.
I know it but I can't understand of this.

4. E.g., $\lfloor 8/2\rfloor=4$, so $a_8=2a_4$. Also, $\lfloor 7/2\rfloor=3$, so $a_7=2a_3$.

5. If $2\le n \le 8$ then $\left\lfloor {\frac{n}{1}} \right\rfloor = 1,1,2,2,3,3,4$.