cp's OEIS Frontend

A374693 a(n) is the smallest number which can be represented as the sum of 3 distinct nonzero fourth powers in exactly n ways, or -1 if no such number exists.

%I A374693 #26 Jul 23 2024 14:57:22
%S A374693 98,6578,811538,5978882,1289202642,292965218,779888018,5745705602,
%T A374693 105760443698,49511121842,1872511131218,281539574498,17673688436978
%N A374693 a(n) is the smallest number which can be represented as the sum of 3 distinct nonzero fourth powers in exactly n ways, or -1 if no such number exists.
%C A374693 a(16) = 7865870969138. - _Michael S. Branicky_, Jul 23 2024
%e A374693 a(2) = 6578 = 1^4 + 2^4 + 9^4 = 3^4 + 7^4 + 8^4.
%e A374693 a(3) = 811538 = 4^4 + 23^4 + 27^4 = 7^4 + 21^4 + 28^4 = 12^4 + 17^4 + 29^4.
%Y A374693 Cf. A025415, A025419, A230562, A374696.
%K A374693 nonn,more
%O A374693 1,1
%A A374693 _Ilya Gutkovskiy_, Jul 17 2024
%E A374693 a(9)-a(12) from _Michael S. Branicky_, Jul 22 2024
%E A374693 a(13) from _Michael S. Branicky_, Jul 23 2024