Enigma 1600: Double-barrelled
10 January 2012
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From New Scientist #2765, 19th June 2010 [link]
I have several barrels, each of which can hold a whole number of litres of wine, where none of the numbers is a perfect square.
If I take pairs of the barrels in every possible combination, I can measure out an almost complete sequence of 11 consecutive integral volumes with only one volume, 100 litres, missing from the series and no volumes either extra or duplicated.
What, in ascending order, are the capacities of the barrels in litres?