A375329 a(n) is the smallest number which can be represented as the sum of 5 distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists.

18, 127, 1548, 16834, 70211956, 342172570

Offset

1,1

Links

Table of n, a(n) for n=1..6.

Example

a(6) = 342172570 = 4^6 +  5^6 + 18^6 + 20^6 + 25^6
                 = 8^6 + 10^6 + 11^6 + 23^6 + 24^6
                 = 8^6 + 13^6 + 15^6 + 16^6 + 26^6.

Crossrefs

Cf. A046881, A342895, A374418, A374421, A374422, A374423, A374424, A374425, A375330, A375331, A375332, A375333, A375334.

Sequence in context: A027566 A335781 A041620 * A244879 A142965 A298275

Adjacent sequences: A375326 A375327 A375328 * A375330 A375331 A375332

Keyword

nonn,hard,more

Author

Ilya Gutkovskiy, Aug 12 2024

Status

approved