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The house is #204 out of 288 houses. Assuming the house itself isn't counted in either sum, which wasn't too clear by the question. I got this by the definitio
by quantumhobbit 10y ago
The house is #204 out of 288 houses. Assuming the house itself isn't counted in either sum, which wasn't too clear by the question.
I got this by the definition of triangle numbers and solving n^2 = m(m+1)/2 for integer solutions. n is the house and m is the total of all houses. As usual, I have no idea how Ramanujan did this with cont. fractions.
- rhizome 10y agoThanks for the spoiler.
- quantumhobbit 10y agoSorry about that. It isn't the full answer though.
- madcaptenor 10y agoAn exposition of how Ramanujan did it: http://www.johnderbyshire.com/Opinions/Diaries/Puzzles/2009-06.html http://www.johnderbyshire.com/Opinions/Diaries/Puzzles/2009-...