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

Author

Ilya Gutkovskiy, Aug 12 2024

Keywords

• nonn
• hard
• more

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.
		

Crossrefs

Cf. A046881, A342896, A374418, A374421, A374422, A374423, A374424, A374425, A375329, A375331, A375332, A375333, A375334.