What Comes Next in Series?

What's next?

1,11,21,1211,111221,?

What's Next?

Here it is found! 

Look-And-Say Sequence Based Series

This is what you need to find! 

That's called as look - and - say sequence in math. It's all about attaching count sequentially of the number of same digits in previous one to find the next one in sequence. 

1. First number in sequence is 1.

2. To find the next one in sequence counting number of same digits in previous & writing the count with that digit. Here 1 appears one time so it's 11.

3. In previous, 1 appears 2 times so here it's 21.

4. In previous, 2 appears once & 1 appears once. Hence , it's 1211!

5. Now here  previously 1 appears once, 2 appears once & again 1 appears twice. So next one is 111221.

6. Looking at previous, 1 appears thrice, 2 appears twice & again 1 appears once. So the next one is 312211!   

More info!

Sequence Asking Out Of Box Thinking

Can you find what's next in this series?

1, 4, 11, 20, 31, 44, 61, ?


Not getting any clue, here I extend it little further.

1, 4, 11, 20, 31, 44, 61, 100, 121, 144, ? 

Now find what's next.

Note : This needs out of box thinking.

Out of Box Thinking

Couldn't find? Here is the answer! 

This Is Out Of Box Thinking!

Why it was needed?

I said earlier this needs some out of box thinking.

If you carefully observe the digits in the series you won't find any digit exceeding 7 or 8. From that you have to conclude the series must be in octal (number system to base 7 is uncommon).

The series can be represented as,

(x + 1) ^2    ...........where x varies from 0,1,2,3,4,5,6,7,10........

And it's in octal number system.

Out of Box Thought

So the answer is 241.