Trying to see the city that never sleeps on a budget of $250 a day, with stops at a famously louche hotel, a pay-what-you-can museum and an outer-borough Chinatown.br/br/span class="advertisement" a href="http://www.pheedo.com/click.phdo?x=aae2ebfc76fd4e24891e361a4cb67493u=http://travel.nytimes.com/2008/10/12/travel/12frugal.html"img src="http://www.pheedo.com/img.phdo?x=aae2ebfc76fd4e24891e361a4cb67493u=http://travel.nytimes.com/2008/10/12/travel/12frugal.html" border="0"//a /span


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