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%I #6 Nov 09 2018 18:19:29
%S 1,2,12,144,25200,86400
%N Smallest difference between the sums of n-th powers in an ideal solution to Prouhet-Tarry-Escott problem of size n.
%C The smallest difference is delivered by the same ideal solutions as in A296136.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Prouhet%E2%80%93Tarry%E2%80%93Escott_problem">Prouhet-Tarry-Escott problem</a>
%e For n=4, the smallest difference is delivered by multisets {0,0,5,5} and {-1,2,3,6} with the sums of 4th powers equal 1250 and 1394, respectively. Their difference is 1394-1250 = 144 = a(4).
%Y Cf. A296136.
%K nonn,hard,more
%O 1,2
%A _Max Alekseyev_, Dec 05 2017
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