Cuckoo's Egg Series
Moderators: jestingrabbit, Moderators General, Prelates
 nuggetmonkey
 Posts: 45
 Joined: Wed Nov 15, 2006 2:52 am UTC
Cuckoo's Egg Series
#1 What is the next letter?
OTTFFSS_
#2 What comes next in the series
1 11 21 1211 111221 ______
These come from The Cuckoo's Egg: Tracking a Spy Through the Maze of Computer Espionage by Cliff Stoll.
OTTFFSS_
#2 What comes next in the series
1 11 21 1211 111221 ______
These come from The Cuckoo's Egg: Tracking a Spy Through the Maze of Computer Espionage by Cliff Stoll.
Re: Cuckoo's Egg Series
I know the first:
I am lost on the second, but it looks kind of familiar...
E. One two three four five six seven eight
I am lost on the second, but it looks kind of familiar...
 Gelsamel
 Lame and emo
 Posts: 8237
 Joined: Thu Oct 05, 2006 10:49 am UTC
 Location: Melbourne, Victoria, Australia
Re: Cuckoo's Egg Series
Spoilz wrote:One, One One, Two Ones, One Two One One, One one one two two ones, three ones two twos one one. Therefore 312211
 Verysillyman
 "Do me! Do me!"
 Posts: 1442
 Joined: Sat Aug 19, 2006 11:25 am UTC
 Location: Drinks Cabinet.
 Contact:
Re: Cuckoo's Egg Series
312211. each consecutive number describes the one before it. ie, the one before this one had three 1s, two 2s, then one 1
Edit: Beaten to the chase! or soe other phrase that sounds lke that but actually makes some sense.
 Gelsamel
 Lame and emo
 Posts: 8237
 Joined: Thu Oct 05, 2006 10:49 am UTC
 Location: Melbourne, Victoria, Australia
Re: Cuckoo's Egg Series
Verysillyman wrote:Edit: Beaten to the chase! or soe other phrase that sounds lke that but actually makes some sense.
Owned

 Posts: 286
 Joined: Tue Aug 22, 2006 10:35 pm UTC
 Contact:
Re: Cuckoo's Egg Series
nuggetmonkey wrote:#2 What comes next in the series
1 11 21 1211 111221 ______
OEIS says there are at least three sensical continuations.
GENERATION 1i: The first time you see this, copy it into your sig on any forum. Square it, and then add i to the generation.
Re: Cuckoo's Egg Series
GreedyAlgorithm wrote:nuggetmonkey wrote:#2 What comes next in the series
1 11 21 1211 111221 ______
OEIS says there are at least three sensical continuations.
You could modify the series algorithm by saying that the next number in the sequence has to be the shortest (in number of characters) possible. So 312211 would be the only option, since 21112211, 11212211, etc., are all longer. Of course, to know for certain, you'd have to have the next number in the series, and be asked for the one following that.
Buton wrote:1. 1, 2, 3, 4, ___
2. 1, 4, 9, 16, ___
3. 1, 2, 4, 8, ___
4. 2, 3, 5, 7, ___
KF5 (sequential)
25 (squares)
16 (powers of 2)
11 (prime numbers)
~Kizyr

 Posts: 286
 Joined: Tue Aug 22, 2006 10:35 pm UTC
 Contact:
Buton wrote:Okay so these sequences are messed up... no really they are
(if you can find the right number for each, you're awesome)
1. 1, 2, 3, 4, ___
2. 1, 4, 9, 16, ___
3. 1, 2, 4, 8, ___
4. 2, 3, 5, 7, ___
Buton
1. 1, 2, 3, 4, 19: ((7/12)*x^4  (35/6)*x^3 + (245/12)*x^2  (169/6)*x + 14)
2. 1, 4, 9, 16, 19: ((1/4)*x^4 + (5/2)*x^3  (31/4)*x^2 + (25/2)*x  6)
3. 1, 2, 4, 8, 19: ((1/6)*x^4  (3/2)*x^3 + (16/3)*x^2  7*x + 4)
4. 2, 3, 5, 7, 19: ((11/24)*x^4  (19/4)*x^3 + (421/24)*x^2  (101/4)*x + 14)
GENERATION 1i: The first time you see this, copy it into your sig on any forum. Square it, and then add i to the generation.
Okay, here's the answers I was looking for ;P
That's it for my tricks ;P
Buton[/quote]
1. 29. the sequence is n_i = i^4  10i^3 + 35i^2  49i + 24
2. 49. The sequence is n_i = i^4  10i^3 + 36i^2  50i + 24
3. 28. This time the sequence is n_i = 2^(i1) + (i^4)/2  5i^3 + (35i^2)/2  25i + 12
4. it's just the primes so the answer is 10. It would have been 11 had I been using base ten, but I'm using base eleven this time.
That's it for my tricks ;P
Buton[/quote]
 phlip
 Restorer of Worlds
 Posts: 7572
 Joined: Sat Sep 23, 2006 3:56 am UTC
 Location: Australia
 Contact:
Ok, so what comes next in this sequence:
1, ___
1, ___
Code: Select all
enum ಠ_ಠ {°□°╰=1, °Д°╰, ಠ益ಠ╰};
void ┻━┻︵╰(ಠ_ಠ ⚠) {exit((int)⚠);}
 nogenius
 Seemed like a good idea at the time
 Posts: 4221
 Joined: Wed May 17, 2006 6:32 pm UTC
 Location: UK
 Contact:
phlip wrote:Ok, so what comes next in this sequence:
1, ___
5
I don't sing, I just shout. All. On. One. Note.
Official ironmen you are free, champions officially
The Mighty Thesaurus wrote:Why? It does nothing to address dance music's core problem: the fact that it sucks.
phlip wrote:Ok, so what comes next in this sequence:
1, ___
1.0707106... + .070106... i
f_n = sqrt((n1)i) + 1
sqrt(i) = 1/sqrt(2) + 1/sqrt(2) i
In case you didn't know. Check it for yourself if you don't believe me.
Last edited by svk1325 on Thu Nov 16, 2006 2:33 am UTC, edited 1 time in total.
"Insanity in a measured dose is a good thing  the difficulty lies in the measurement."

 Posts: 286
 Joined: Tue Aug 22, 2006 10:35 pm UTC
 Contact:
phlip wrote:Ok, so what comes next in this sequence:
1, ___
I know this sequence! It is S(n), where S(k) is chosen such that upon seeing S(1)..S(k1), you'd think the sequence was some recognized sequence X, but after seeing S(k), you'd revise your opinion to think it was the next most recognized sequence. For the purposes of the sequence 1,1,1,1,1,1,1... is defined as more recognized than 1,2,3,4,5,6,7...
Therefore the next number is 2.
GENERATION 1i: The first time you see this, copy it into your sig on any forum. Square it, and then add i to the generation.
 Verysillyman
 "Do me! Do me!"
 Posts: 1442
 Joined: Sat Aug 19, 2006 11:25 am UTC
 Location: Drinks Cabinet.
 Contact:
 nogenius
 Seemed like a good idea at the time
 Posts: 4221
 Joined: Wed May 17, 2006 6:32 pm UTC
 Location: UK
 Contact:
GreedyAlgorithm wrote:phlip wrote:Ok, so what comes next in this sequence:
1, ___
I know this sequence! It is S(n), where S(k) is chosen such that upon seeing S(1)..S(k1), you'd think the sequence was some recognized sequence X, but after seeing S(k), you'd revise your opinion to think it was the next most recognized sequence. For the purposes of the sequence 1,1,1,1,1,1,1... is defined as more recognized than 1,2,3,4,5,6,7...
Therefore the next number is 2.
But surely that makes 2 the most likely next number? So it must be 5
I don't sing, I just shout. All. On. One. Note.
Official ironmen you are free, champions officially
The Mighty Thesaurus wrote:Why? It does nothing to address dance music's core problem: the fact that it sucks.
Now that you've posted it, it is a recognised sequence. Call it the K'th most recognised sequence. As you generate terms, you reach some N for which you have eliminated all the more recognised sequences.GreedyAlgorithm wrote:I know this sequence! It is S(n), where S(k) is chosen such that upon seeing S(1)..S(k1), you'd think the sequence was some recognized sequence X, but after seeing S(k), you'd revise your opinion to think it was the next most recognized sequence.
What is S(N)?
Buton wrote:Okay so these sequences are messed up... no really they are
(if you can find the right number for each, you're awesome)
1. 1, 2, 3, 4, ___
2. 1, 4, 9, 16, ___
3. 1, 2, 4, 8, ___
4. 2, 3, 5, 7, ___
Buton
Why not 1, 2, 3, 4, 1, 2, 3, 4, ... for the first one, for example?
"To me, love is a game... like Starcraft." on some Korean drama/soap

 Posts: 286
 Joined: Tue Aug 22, 2006 10:35 pm UTC
 Contact:
planck wrote:Now that you've posted it, it is a recognised sequence. Call it the K'th most recognised sequence. As you generate terms, you reach some N for which you have eliminated all the more recognised sequences.GreedyAlgorithm wrote:I know this sequence! It is S(n), where S(k) is chosen such that upon seeing S(1)..S(k1), you'd think the sequence was some recognized sequence X, but after seeing S(k), you'd revise your opinion to think it was the next most recognized sequence.
What is S(N)?
You've discovered the hidden beauty of S: it's necessarily of finite length.
GENERATION 1i: The first time you see this, copy it into your sig on any forum. Square it, and then add i to the generation.
Who is online
Users browsing this forum: No registered users and 6 guests