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 Post subject: Number Sequence #3
PostPosted: Mon Jun 03, 2002 1:46 am 
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Vorpal Bunny Slipper
Vorpal Bunny Slipper

Joined: Sun May 12, 2002 2:54 am
Posts: 2707
0, 1, 2...

No, the answer isn't three, or four, or anything less than a hundred.


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 Post subject:
PostPosted: Mon Jun 03, 2002 1:59 am 
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Energizer Bunny
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Joined: Wed May 22, 2002 12:24 am
Posts: 1634
um. skip a few, infinity?

Vorn


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 Post subject:
PostPosted: Mon Jun 03, 2002 2:55 am 
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Vorpal Bunny Slipper
Vorpal Bunny Slipper

Joined: Sun May 12, 2002 2:54 am
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Not quite.


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 Post subject:
PostPosted: Mon Jun 03, 2002 7:30 am 
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Energizer Bunny
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Well, there's a gazillion different ways to get those three numbers and another >= 100... like "all these numbers are of the form x mod 100 = (0,1, or 2)" Honestly you're gonna have to give us a hint, otherwise we'll be here all year naming stupid sequences.

Vorn

(EDIT: stoopid brain, giving me bad numbers...)


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 Post subject:
PostPosted: Mon Jun 03, 2002 1:46 pm 
here's a formula that comes up with one...
x^9+1 where x >= -1
-1^9 = -1, +1 = 0
0^9 = 0 +1 = 1
1^9 = 1 + 1 = 2
2^9 = 512 +1 = 513
how's that?
Also, x^7+1 would also work, x>=-1
0 1 2 129


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 Post subject:
PostPosted: Mon Jun 03, 2002 1:47 pm 
if you're a stickler for starting at 0,
(x-1)^7+1 where x >= 0


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 Post subject:
PostPosted: Mon Jun 03, 2002 3:46 pm 
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Vorpal Bunny Slipper
Vorpal Bunny Slipper

Joined: Sun May 12, 2002 2:54 am
Posts: 2707
Okay, okay...the next term is roughly 2.601218943565795100204903227081e+1746 , or 720 factorial.

Now just find the pattern.


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 Post subject:
PostPosted: Mon Jun 03, 2002 4:50 pm 
although 0 1 2 129 would be a great stumper for a sequence, if the answer wasnt already in this forum.


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 Post subject:
PostPosted: Mon Jun 03, 2002 5:00 pm 
[03 15:47:15] <Kaz> 0 1! 2! 720!
[03 15:47:22] <JeremiahSmith> No.
[03 15:47:33] <JeremiahSmith> 0, 1, 2, 720? That's no pattern.
[03 15:47:37] <Kaz> yah.
[03 15:47:44] <Kaz> but, that's a place to start from. ;)
[03 15:47:50] <JeremiahSmith> Yes, yes it is.
[03 15:47:54] <Kaz> what is 0! anyway...
[03 15:47:59] <Kaz> 1 isnt it?
[03 15:48:01] <westyx> 1, think
[03 15:48:13] <Kaz> yah, it is.
[03 15:48:54] <Kaz> 2*2*2*2*3*3*5 = 720
[03 15:49:02] <JeremiahSmith> Yes, 0 factorial is 1.
[03 15:49:25] <Kaz> 3 consecutive primes
[03 15:49:32] <Kaz> 4 2 1 pattern there.
[03 15:50:10] <Kaz> if 2 * 2 * 3 though, does not fit for the prior one. 2 does for the prior.

So, (2^4 * 3^2 * 5^1)! for that, but by that logic the one before 720! should have been 12! :(


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 Post subject:
PostPosted: Mon Jun 03, 2002 5:35 pm 
0, 1!, (2!)!, ((3!)!)!, ...


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 Post subject:
PostPosted: Mon Jun 03, 2002 5:44 pm 
Yay pi! go Pi!
Jeremiah, You are evil. Great sequence, although having the 4th number would have been better from the start.


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 Post subject:
PostPosted: Mon Jun 03, 2002 5:45 pm 
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Vorpal Bunny Slipper
Vorpal Bunny Slipper

Joined: Sun May 12, 2002 2:54 am
Posts: 2707
Of course I'm evil! Actually, that pattern is really sort of a pattern joke I read in a math book, about how patterns that seem obvious really aren't. Or something.


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