Binary Sequence

Moo Of Doom

Not sure if this has been done... I sort of discovered this sequence myself, but who knows...

01000101010001000100010101000101...

What comes next?

dextercioby

I hope this isn't a joke.Anyone could take a # as 197847389748838393384848484949393822636464785885984 and pass it into base 2

Daniel.

On normal basis,it should be "01"

BicycleTree

I don't know, but here's my answer: Since every 1 is followed by a 0 in the pattern so far, I'm going to guess that the next item in the sequence is a 0

Moo Of Doom

You're both correct as to the terms, but have not found out the pattern...

I'll post some more terms, though.

0100010101000100010001010100010101000101010001000100010101000100

That should be a big help.

P.S. This is in no way a joke. (And it has only to do with "binary" in the sense of needing two symbols)

EDIT: This includes the original terms.

EDIT 2: It seems to be showing a space in the terms... there shouldn't be one...

BicycleTree

Is that really 00 at the end and not 01?

Moo Of Doom

Yes. That should be a clue.

BicycleTree

Well, if you chop off the last 0 it's a palindrome.

Moo Of Doom

Here's a hint: Consider the number of terms I revealed the first post and the second post.[In White]

And Bicycle Tree: I totally didn't even notice that. Cool.

BicycleTree

The last 0 should totally be a 1.

Moo Of Doom

Hint: That's pretty much the idea behind the sequence.

That and my previous one should probably be enough, but I can keep trying. Tell me if you really want the answer.

BicycleTree

I don't know, what's the answer? There are some repetitive patterns and they all predict a final 1.

Moo Of Doom

EDIT: Answer removed in order to give other people a chance. Hints still apply.

BicycleTree

That's pretty good.

Moo Of Doom

Thanks. Glad it was challenging.

Moo Of Doom

How about this sequence, then?

01101001100101101001011001101001...

BicycleTree

Answer:Associate the block 0110 with 0 and 1001 with 1. The sequence starts with 0110 and the n'th block of 4 thereafter is determined by the n'th entry in the pattern. For example, the fourth block of 4 is determined by the 4th entry, namely 0, so it is 0110.

That one was much easier, took only a minute or two.

BicycleTree

Well, I don't know why that one was so easy and the other one wasn't because I just tried the same idea on the first one and got this: 01 associates with 0, 00 associates with 1, start with 01 and proceed as in the post above, and that generates the original pattern you posted.