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

1,1

Links

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

Example

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.

Sequence in context: A268623 A209716 A209709 * A209986 A372521 A297522

Adjacent sequences: A375327 A375328 A375329 * A375331 A375332 A375333

Keyword

nonn,hard,more

Author

Ilya Gutkovskiy, Aug 12 2024

Status

approved