A374803 a(n) is the smallest number which can be represented as the sum of 4 distinct positive fifth powers in exactly n ways, or -1 if no such number exists.
1300, 4062500, 1479604544
Offset: 1
Examples
a(2) = 4062500 = 1^5 + 14^5 + 16^5 + 19^5 = 5^5 + 10^5 + 15^5 + 20^5. a(3) = 1479604544 = 3^5 + 48^5 + 52^5 + 61^5 = 13^5 + 36^5 + 51^5 + 64^5 = 18^5 + 36^5 + 44^5 + 66^5.