%I #7 Aug 12 2024 13:11:11
%S -1,151,2465,54994,1386406515,351060139210
%N a(n) is the smallest number which can be represented as the sum of 5 distinct positive n-th powers in exactly 4 ways, or -1 if no such number exists.
%e a(4) = 54994 = 1^4 + 2^4 + 4^4 + 8^4 + 15^4
%e = 1^4 + 2^4 + 9^4 + 10^4 + 14^4
%e = 2^4 + 5^4 + 6^4 + 11^4 + 14^4
%e = 3^4 + 7^4 + 8^4 + 10^4 + 14^4.
%Y Cf. A046881, A342899, A374418, A374421, A374422, A374423, A374424, A374425, A375329, A375330, A375331, A375333, A375334.
%K sign,hard,more
%O 1,2
%A _Ilya Gutkovskiy_, Aug 12 2024
%E a(5)-a(6) from _Michael S. Branicky_, Aug 12 2024
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