Search: id:A135418
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%I A135418
%S A135418 657,57,1,1
%N A135418 Number of ways of splitting the numbers from 1 to 16 into two groups 
               so that the numbers in each group have the same sum of nth powers.
%C A135418 For n=1,2 the are numerous ways, while for each of n=3 and n=4 there 
               is only one way: n=3:{1,4,6,7,10,11,13,16},{2,3,5,8,9,12,14,15} (see 
               A133483-A133484), n=4: {1,2,3,4,8,9,10,11,12,16},{5,6,7,13,14,15}.
%C A135418 Presumably for n >= 4 there are no solutions.
%Y A135418 Cf. A133483, A133484, A135419.
%Y A135418 Sequence in context: A065759 A088894 A015277 this_sequence A034818 A068260 
               A023294
%Y A135418 Adjacent sequences: A135415 A135416 A135417 this_sequence A135419 A135420 
               A135421
%K A135418 nonn
%O A135418 1,1
%A A135418 Zak Seidov (zakseidov(AT)yahoo.com), Dec 01 2007

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