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.
354, 6834, 16578, 300834, 2147874, 3847554, 16408434, 13155858, 489597858, 677125218, 780595299, 2374692243, 803898018, 5645172978
Offset: 1
Examples
a(2) = 6834 = 1^4 + 2^4 + 4^4 + 9^4 = 3^4 + 4^4 + 7^4 + 8^4. 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.
Extensions
a(9)-a(14) from Michael S. Branicky, Jul 21 2024