Find the next number in this sequence..

 

chuckywang

Lifer
Jan 12, 2004
20,133
1
0
The last number you have should be: 114213

Therefore, the next number is 31121314. What do I win?
 

KLin

Lifer
Feb 29, 2000
30,210
559
126
1, 11, 21, 1112, 3112, 211213, 312213, 212223, 114213, 31121314, 41122314, 31221324, 21322314, 21322314, 21322314, 21322314, 21322314, 21322314, 21322314, 21322314, 21322314, 21322314, 21322314, 21322314, 21322314, 21322314
 

Syringer

Lifer
Aug 2, 2001
19,333
2
71
Originally posted by: chuckywang
The last number you have should be: 114213

Therefore, the next number is 31121314. What do I win?

:thumbsup:

I just realized the answer is googleable =/

Good job nonetheless, I'll assume you used your brains :)
 

chuckywang

Lifer
Jan 12, 2004
20,133
1
0
Originally posted by: Syringer
Originally posted by: chuckywang
The last number you have should be: 114213

Therefore, the next number is 31121314. What do I win?

:thumbsup:

I just realized the answer is googleable =/

Good job nonetheless, I'll assume you used your brains :)

Yep, no google for me. :)

EDIT: After reading KLin's response, it's awesome how 21322314 has the recursive property of this sequence. It's something that should be in Godel, Escher, Bach: An Eternal Golden Braid. I wonder how if this sequence converges when you take any integer as the first number.
 

Syringer

Lifer
Aug 2, 2001
19,333
2
71
Originally posted by: chuckywang
Originally posted by: Syringer
Originally posted by: chuckywang
The last number you have should be: 114213

Therefore, the next number is 31121314. What do I win?

:thumbsup:

I just realized the answer is googleable =/

Good job nonetheless, I'll assume you used your brains :)

Yep, no google for me. :)

EDIT: After reading KLin's response, it's awesome how 21322314 has the recursive property of this sequence. It's something that should be in Godel, Escher, Bach: An Eternal Golden Braid. I wonder how if this sequence converges when you take any integer as the first number.

Starting with any number 1-4 you end up with that same sequence :)

I've yet to try 5-9 or 0 though..let's see...
 

Rubycon

Madame President
Aug 10, 2005
17,768
485
126
It has to be evenly divisible by eight, the number of legs a spider has. :p
 

JujuFish

Lifer
Feb 3, 2005
11,388
1,026
136
Originally posted by: Syringer
Originally posted by: chuckywang
Originally posted by: Syringer
Originally posted by: chuckywang
The last number you have should be: 114213

Therefore, the next number is 31121314. What do I win?

:thumbsup:

I just realized the answer is googleable =/

Good job nonetheless, I'll assume you used your brains :)

Yep, no google for me. :)

EDIT: After reading KLin's response, it's awesome how 21322314 has the recursive property of this sequence. It's something that should be in Godel, Escher, Bach: An Eternal Golden Braid. I wonder how if this sequence converges when you take any integer as the first number.

Starting with any number 1-4 you end up with that same sequence :)

I've yet to try 5-9 or 0 though..let's see...

2, 12, 1112, 3112, 211213, 312213, 212223, 114213, 31121314, 41122314, 31221324, 21322314
3, 13, 1113, 3113, 2123, 112213, 312213, 212223, 114213, 31121314, 41122314, 31221324, 21322314
4, 14, 1114, 3114, 211314, 31121314, 41122314, 31221324, 21322314

Nice..
 

chuckywang

Lifer
Jan 12, 2004
20,133
1
0
Originally posted by: Syringer
Starting at 0 it converges to 1031223314..too lazy to try 5-9 though.

Maybe it converges to the same thing except that the 2's are replaced by 5's? I dunno, just a guess.
 

hypn0tik

Diamond Member
Jul 5, 2005
5,866
2
0
5, 15, 1115, 3115, 211315, 31121315, 41122315, 3122131415, 4122231415, 3132132415, 3122331415, 3122331415

If I'm not mistaken.
 

JujuFish

Lifer
Feb 3, 2005
11,388
1,026
136
0 10 1011 1031 102113 10311213 10411223 1031221314 1041222314 1031321324 1031223314 1031223314
1 11 21 1112 3112 211213 312213 212223 114213 31121314 41122314 31221324 21322314 21322314
2 12 1112 3112 211213 312213 212223 114213 31121314 41122314 31221324 21322314 21322314
3 13 1113 3113 2123 112213 312213 212223 114213 31121314 41122314 31221324 21322314 21322314
4 14 1114 3114 211314 31121314 41122314 31221324 21322314 21322314
5 15 1115 3115 211315 31121315 41122315 3122131415 4122231415 3132132415 3122331415 3122331415
6 16 1116 3116 211316 31121316 41122316 3122131416 4122231416 3132132416 3122331416 3122331416
7 17 1117 3117 211317 31121317 41122317 3122131417 4122231417 3132132417 3122331417 3122331417
8 18 1118 3118 211318 31121318 41122318 3122131418 4122231418 3132132418 3122331418 3122331418
9 19 1119 3119 211319 31121319 41122319 3122131419 4122231419 3132132419 3122331419 3122331419