cp's OEIS Frontend

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.

%I A374696 #9 Jul 22 2024 03:37:10
%S A374696 354,6834,16578,300834,2147874,3847554,16408434,13155858,489597858,
%T A374696 677125218,780595299,2374692243,803898018,5645172978
%N 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.
%e A374696 a(2) = 6834 = 1^4 + 2^4 + 4^4 + 9^4 = 3^4 + 4^4 + 7^4 + 8^4.
%e A374696 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 A374696 Cf. A025417, A025421, A230562, A374693.
%K A374696 nonn,more
%O A374696 1,1
%A A374696 _Ilya Gutkovskiy_, Jul 17 2024
%E A374696 a(9)-a(14) from _Michael S. Branicky_, Jul 21 2024