My favorite series...

forkedknight

Defend the Universe

Posers and Puzzles

21 Apr 08

forkedknight

Defend the Universe

127.0.0.1

Joined: 18 Dec 03
Moves: 16687

21 Apr 08

What comes next?
1
11
21
1211
111221
312211
...

mtthw

Joined: 07 Sep 05
Moves: 35068

21 Apr 08

1 edit

Yes, I do like this one. Won't spoil it though.

forkedknight

Defend the Universe

127.0.0.1

Joined: 18 Dec 03
Moves: 16687

21 Apr 08

1 edit

and no cheating by looking it up in the encyclopedia of integer sequences...

brobluto

Joined: 04 Oct 06
Moves: 11845

21 Apr 08

Originally posted by forkedknight
What comes next?
1
11
21
1211
111221
312211
...

13112221
1113213211
31131211131221

????

Gastel

B is for bye bye

Joined: 09 Apr 06
Moves: 27526

21 Apr 08

Originally posted by forkedknight
and no cheating by looking it up in the encyclopedia of integer sequences...

Or at previous threads.

strokem1

Montgomery

Joined: 17 Mar 06
Moves: 7336

22 Apr 08

1 edit

Originally posted by brobluto
13112221
1113213211
31131211131221

????

13211311123113112211
sorry disregard earlier version due to the fact that I can't count. 😛 I believe this version is right though

forkedknight

Defend the Universe

127.0.0.1

Joined: 18 Dec 03
Moves: 16687

22 Apr 08

does the length of members of this series increase exponentially?

geepamoogle

Joined: 15 Feb 07
Moves: 667

22 Apr 08

Once you determine what the rule entails, discovering the next term is very easy. Each number is determined exclusively by the previous number, by the way, but not in the standard mathematical way.

Jamin

Irresponsible Quoter

0 games mating

Joined: 04 Nov 06
Moves: 23536

22 Apr 08

Originally posted by forkedknight
What comes next?
1
11
21
1211
111221
312211
...

Oh....

Got it... took a minute (or six) though.
😀

brobluto

Joined: 04 Oct 06
Moves: 11845

22 Apr 08

Originally posted by forkedknight
does the length of members of this series increase exponentially?

I think so, but I'm struggling with when the number 4 will occur in the series... (I don't think it will)

In order to get a 4, you would need either 1,2,or3 repeated 4 times:

1111
2222
3333

This would require a break from the sequence so I don't believe the number 4 is achievable. Is that correct?

forkedknight

Defend the Universe

127.0.0.1

Joined: 18 Dec 03
Moves: 16687

22 Apr 08

Originally posted by brobluto
I think so, but I'm struggling with when the number 4 will occur in the series... (I don't think it will)

In order to get a 4, you would need either 1,2,or3 repeated 4 times:

1111
2222
3333

This would require a break from the sequence so I don't believe the number 4 is achievable. Is that correct?

I believe you are correct that the number 4 will never appear. since each 'description' is two digits long, and the second digit is the character that appeared, you will never have two descriptions in a row with the same second character.