What are the next two numbersin the following sequence ?
1, 11, 31, 4113, 612314, ? , ?
(Explain how you arrived at your result).
The next two numbers are as below:
8112332416 1113253342618
Actually any number in the sequence is just the count of the digits used in the sequence so far. For example if we start with 1, 11 represents that uptil now there is only one digit(that is ofcourse "1") used in the sequence and it appears only once.(Remember the first 1 in "11" shows the number of occurences and the second 1 shows the actual digit which has occured). Following the same strategy it is quite easy to show that 31 means that 1 has appeared in the sequence thrice so far. But here, we have a new number introduced in the sequence and that is 3 so it's count is to be managed as well, which is apparent from 4113.
Now 4113 tells that now there are 2 digits in the sequence "3" and "1", where 3 comes once and 1 is repeated 4 times and so on.......This is how I think it works.
Plz do let me know if there is a bug.
The solution
