A375330 a(n) is the smallest number which can be represented as the sum of 6 distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists.
24, 175, 1891, 23140, 5490133, 201968338
Offset: 1
Examples
a(6) = 201968338 = 2^6 + 3^6 + 14^6 + 18^6 + 19^6 + 22^6
= 2^6 + 10^6 + 14^6 + 15^6 + 18^6 + 23^6
= 4^6 + 6^6 + 10^6 + 11^6 + 21^6 + 22^6.