A374422 a(n) is the smallest number which can be represented as the sum of 3 distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists.

9, 101, 5104, 811538

Offset

1,1

Links

Table of n, a(n) for n=1..4.

Example

a(3) = 5104 = 1^3 + 12^3 + 15^3 = 2^3 + 10^3 + 16^3 = 9^3 + 10^3 + 15^3.
a(4) = 811538 = 4^4 + 23^4 + 27^4 = 7^4 + 21^4 + 28^4 = 12^4 + 17^4 + 29^4.

Crossrefs

Cf. A046881, A374418, A374421, A374423, A374424, A374425.

Sequence in context: A269732 A007133 A183518 * A339643 A083452 A356244

Adjacent sequences: A374419 A374420 A374421 * A374423 A374424 A374425

Keyword

nonn,hard,more

Author

Ilya Gutkovskiy, Jul 08 2024

Status

approved