Thread: Sock Drawer
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Old 09-16-2003, 03:47 PM
thylacine thylacine is offline
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Join Date: Jul 2003
Posts: 294
Default Re: Sock Drawer - ans (a,b,c)

I stumbled across this thread via the more recent thread "Probability Problem (non-poker)."

BruceZ says we are solving t(t-1) = 2r(r-1).

irchans says he reads of a connection to Pell's equation: n x^2 + 1 = y^2 .

The connection is this. Let T=2t-1, R=2r-1.

Then t(t-1) = 2r(r-1) becomes 2R^2=T^2+1.

(I don't know how to solve these or what is known.)

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