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Topic: Just A Plain Old Number Sequence... (Read 926 times) |
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Jeremiah Smith
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Just A Plain Old Number Sequence...
« on: Dec 4th, 2002, 11:31am » |
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What comes next...?
32, 35, 40, 44, 52, 112, ?
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redPEPPER
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Posts: 160
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Re: Just A Plain Old Number Sequence...
« Reply #1 on: Dec 16th, 2002, 6:22am » |
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200, 1012
The rest is too much of a giveaway (if this isn't already)
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| « Last Edit: Dec 16th, 2002, 6:24am by redPEPPER » |
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Brett Danaher
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Re: Just A Plain Old Number Sequence...
« Reply #2 on: Jan 6th, 2003, 7:01am » |
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Actually, I'm still not sure of the answer. Care to give a little more help solving the pattern? I've been working on this one off and on for a few days.
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Cyrus
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Re: Just A Plain Old Number Sequence...
« Reply #3 on: Jan 6th, 2003, 9:12am » |
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Jeeze, I'm havin a tough time with this one too.
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Jeremiah Smith
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Re: Just A Plain Old Number Sequence...
« Reply #4 on: Jan 6th, 2003, 11:00am » |
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Hint: the pattern is not an arithmetic or geometric sequence of any sort.
Although, if you checked the differences between each number in the sequence, the differences would always be 0...
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BNC
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Re: Just A Plain Old Number Sequence...
« Reply #5 on: Jan 6th, 2003, 11:20am » |
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could the next number be 100000?
If yes, a followup question:
is it possible to define a "base-1" system?
Would it be 1....1 (32 times) in this base? Or am I just blabering?
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| « Last Edit: Jan 6th, 2003, 11:21am by BNC » |
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How about supercalifragilisticexpialidociouspuzzler [Towr, 2007]
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redPEPPER
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Re: Just A Plain Old Number Sequence...
« Reply #6 on: Jan 6th, 2003, 2:37pm » |
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Yes, that's what the next number is.
I encountered base 1 before but I'm not too fond of it. It's so different from other bases. You can always write 0 in any base, except base 1 (aside from not writing anything at all). Also, a determining characteristic of bases is that the value of a particular figure depends on its position: in base N, the figure X can mean X, or X*N, or X*N2, or X*N3... In base 1, every figure has a value of 1 (although you could argue that they have values of 10, 11, 12...)
Ah well. I don't like base 1. Heh.
How 'bout base -2? 
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BNC
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Re: Just A Plain Old Number Sequence...
« Reply #7 on: Jan 7th, 2003, 4:03am » |
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Just a point of interest:
I once did a work with mixed radix numbers (MRN). It's an extension of the "base" system, where each location doesn't have to be N^?.
You define that by a base vector b=[b(n-1),...b(1),b(0)] (b(i)>1). {note: b(1) is b with 1 subscript -- I don't know how to enter that)
Then, a weight vector w=[w(n),...w(1),w(0)], where w(0)=1, and w(i)=w(i-1)*b(i-1)
A number A would have a unique representation a=[a(n-1),...a(1),a(0)], such that A=w(dot)a (a dot product), and 0<=a(i)<b(i).
It is easy to see that the "normal" base system is just a particular case of MRN. And MRN has some nice uses.
OK, that's not a riddle, but I think it is interesting.....
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How about supercalifragilisticexpialidociouspuzzler [Towr, 2007]
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