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A374696 a(n) is the smallest number which can be represented as the sum of 4 distinct nonzero fourth powers in exactly n ways, or -1 if no such number exists. 3

%I #9 Jul 22 2024 03:37:10

%S 354,6834,16578,300834,2147874,3847554,16408434,13155858,489597858,

%T 677125218,780595299,2374692243,803898018,5645172978

%N a(n) is the smallest number which can be represented as the sum of 4 distinct nonzero fourth powers in exactly n ways, or -1 if no such number exists.

%e a(2) = 6834 = 1^4 + 2^4 + 4^4 + 9^4 = 3^4 + 4^4 + 7^4 + 8^4.

%e a(3) = 16578 = 1^4 + 2^4 + 9^4 + 10^4 = 2^4 + 5^4 + 6^4 + 11^4 = 3^4 + 7^4 + 8^4 + 10^4.

%Y Cf. A025417, A025421, A230562, A374693.

%K nonn,more

%O 1,1

%A _Ilya Gutkovskiy_, Jul 17 2024

%E a(9)-a(14) from _Michael S. Branicky_, Jul 21 2024

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Last modified August 20 23:18 EDT 2024. Contains 375341 sequences. (Running on oeis4.)