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A375332 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. 5

%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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Last modified August 28 14:20 EDT 2024. Contains 375507 sequences. (Running on oeis4.)