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    (Original post by fishpaste)
    Are you sure that's a necessary condition for t to be a square?

    16 is a square, but neither 8 or 2 are squares.

    I'm missing something here lol.
    For the 16 situation it won't work. Because, either n is odd, or n+1 is odd.
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    (Original post by Camford)
    That's why I said I probably missed out on something. From what I remember, the first few numbers in the sequeneces we found gave every number that fit the criteria without missing anything out.

    I'll spend sometime on it and see what I can come up with.
    Yep it's a much better way to generate them than we've found. I asked Rich last night about it and he pointed me at:



    this does seem to look vaguely similar to what you were saying

    because like case1:

    n = p^2
    (n+1)/2 = q^2

    p^2 = 2q^2 - 1 = (rt2.q + 1)(rt2.q - 1)

    and well if n is an integer, then n^2k is a square, so I can see where that 2n came in. So yeah looks like this is definitely on the right lines
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    (Original post by Camford)
    For the 16 situation it won't work. Because, either n is odd, or n+1 is odd.
    oh yeah
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    (Original post by fishpaste)
    Yep it's a much better way to generate them than we've found. I asked Rich last night about it and he pointed me at:

    So what does this thing do? Generate n or generate T?
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    generates T
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    (Original post by Camford)
    So what does this thing do? Generate n or generate T?
    Never mind, found it on mathworld.
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    (Original post by fishpaste)
    generates T
    Did you read that article about this square triagular numbers? It didn't take Euler to figure out there are infinte numbers of such number that afternoon.
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    (Original post by Camford)
    Did you read that article about this square triagular numbers? It didn't take Euler to figure out there are infinte numbers of such number that afternoon.
    Did we?
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    (Original post by fishpaste)
    Did we?
    We as in my friend and I.
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    (Original post by Camford)
    We as in my friend and I.
    Ahh yes. Sorry =P
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    (Original post by fishpaste)
    Ahh yes. Sorry =P
    Are you going to follow my lead and have another go at it or not?
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    Can't you lot go and have a little mathematician's huddle in a corner somewhere? And stop making the rest of us look stupid?
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    (Original post by Helenia)
    Can't you lot go and have a little mathematician's huddle in a corner somewhere? And stop making the rest of us look stupid?
    Did you know Tinky Winky is a gay role model?
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    (Original post by Squishy)
    Did you know Tinky Winky is a gay role model?
    The purple one?
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    lol whatever!

    i just have changed my profile pic to one of me WITHOUT my brace! <--like this
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    (Original post by Helenia)
    Can't you lot go and have a little mathematician's huddle in a corner somewhere? And stop making the rest of us look stupid?
    *Camford gives Squishy a warm cuddle in the Mathematicians' corner....(manly cuddle, nothing else)*
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    (Original post by Squishy)
    Did you know Tinky Winky is a gay role model?
    Of course. Dont you think the poncho and sombrero help?
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    (Original post by Helenia)
    Of course. Dont you think the poncho and sombrero help?
    and the dalmation print handbag!
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    Tinky Winky's too fat to be gay. Everybody knows gay people have rippling six packs.
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    (Original post by fishpaste)
    Tinky Winky's too fat to be gay. Everybody knows gay people have rippling six packs.
    Oi, he's a teletubby. Normal rule does not apply.
 
 
 

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