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Author Topic: Pattern Battle!!!  (Read 15348 times)
Tiak
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« on: July 20, 2008, 05:48:19 PM »

The rules:
1.  Each post must contain the solution to the previous pattern, followed by your own new pattern.
2.  The solution to the pattern must be the simplest solution given the data you provide.
3.  If a pattern too confusing, people can request that it be lengthened to give them more hints.

I'll start off simple, with a classic...

1, 1, 2, 3, 5, x, y, z
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Gathrid
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« Reply #1 on: July 22, 2008, 08:40:30 PM »

x = 8
y = 13
z = 21
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ZacQuicksilver
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« Reply #2 on: July 23, 2008, 12:30:56 AM »

Tiak, you used Fibonacci(1,1), which is too much of a classic for anyone here to miss.


2, 11, 101, 1009, a, b, c


Have fun. This is a subset of a series I expect all of you to know, if that helps.
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Araeus
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« Reply #3 on: July 23, 2008, 12:51:43 AM »

a = 10007
b = 100003
c = 1000003

Smallest prime number larger than 10^(n-1)
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Araeus
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« Reply #4 on: July 23, 2008, 12:56:05 AM »

This is a fun one... it's a bit obscure but I like it.

(5,11), (7,13), (11,17), (a,b), (c,d), (e,f)

Each of those entries is a pair of numbers.
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ZacQuicksilver
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« Reply #5 on: July 23, 2008, 01:09:15 AM »

Araeus, you're supposed to do mine first.

But since it's there, my guess:

(13,19), (17,23), (23,29).

Primes separated by 6.
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I hack games, not computers, in my life.

I'm NOT SGP, no matter how much I support them on the forums.


Pardus.at. Let me know if you play.
ZacQuicksilver
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« Reply #6 on: July 25, 2008, 11:26:45 AM »

a = 10007
b = 100003
c = 1000003

Smallest prime number larger than 10^(n-1)

Missed you wrote that.

Yep, you got it.
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I hack games, not computers, in my life.

I'm NOT SGP, no matter how much I support them on the forums.


Pardus.at. Let me know if you play.
Araeus
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« Reply #7 on: July 25, 2008, 11:40:36 AM »

Araeus, you're supposed to do mine first.

But since it's there, my guess:

(13,19), (17,23), (23,29).

Primes separated by 6.

Sexy primes
http://en.wikipedia.org/wiki/Sexy_primes

Yeah... primes numbers seperated by six... chosen mostly for the name.
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Tiak
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« Reply #8 on: July 25, 2008, 04:12:47 PM »

Tiak, you used Fibonacci(1,1), which is too much of a classic for anyone here to miss.
I find if you don't start the game off easy, it never gets started. :P

Anyway, just to mix things up, I have a different kind of classic, frequently presented as a puzzle, before I delve into the obscure.

10, 1110, 3110, 132110, x, y, z
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ZacQuicksilver
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« Reply #9 on: July 26, 2008, 12:20:04 PM »

I've seen that one before.

So I'll wait a little before I post.
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Pardus.at. Let me know if you play.
Moen Co.
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« Reply #10 on: July 27, 2008, 04:13:06 PM »

x=1113122110
y=311311222110
z=13211321322110

Reading it out digit by digit helps.  1

1, 1, 2, 3, 5, 7, 11, x, y, z

This sequence gives me nightmares sometimes, one of the harder classes I took with one of the professors I liked the most.
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Retired. Best Finish: #4 (Should've been #3)
ZacQuicksilver
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« Reply #11 on: July 27, 2008, 04:26:54 PM »

x=1113122110
y=311311222110
z=13211321322110

Ha: Partial answer

Equally legitimate answer is:

13123110
23124110
1413223110


1, 1, 2, 3, 5, 7, 11, x, y, z

Let me guess:

16
24
35
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I hack games, not computers, in my life.

I'm NOT SGP, no matter how much I support them on the forums.


Pardus.at. Let me know if you play.
Moen Co.
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F5!

ragewithmycheese
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« Reply #12 on: July 27, 2008, 09:04:38 PM »

Zac >> Legitimate answer, but not the one I was looking for either!  laugh
Maybe we should have a minimum on the number of terms to give in a sequence.

Expanding for the next three terms...

1, 1, 2, 3, 5, 7, 11, 15, 22, 30, x, y, z

And for a hint, the sequence does not have a recurrence relation to describe it, but does have a generating function.

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Moen Co.
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ragewithmycheese
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« Reply #13 on: July 29, 2008, 09:23:00 PM »

Ooookay, topic kill... *bump*

So uh, that may have been too obscure? I'll put a new one up, but if Zac would like to post his own since he provided an alternate solution he's free to do so. This one's just for laughs.

8, 6, 7, 5, x, y, z

And no, it's not 6, 4, 5.
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ZacQuicksilver
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« Reply #14 on: July 30, 2008, 02:09:47 PM »

Here's one:

1, 1, 9, 6, 3, x, y, z.

crude, and likely to earn a few facepalms, but also likely to keep people guessing.



Moen: 3, 0, 9? (Bad song reference)
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I hack games, not computers, in my life.

I'm NOT SGP, no matter how much I support them on the forums.


Pardus.at. Let me know if you play.
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