A365506 a(n) is the smallest perfect power that can be represented as the sum of n distinct perfect powers in exactly n ways, or -1 if no such number exists.

1, 36, 125, 81, 128

Offset

1,2

Links

Table of n, a(n) for n=1..5.

Eric Weisstein's World of Mathematics, Perfect Power.

Example

For n = 2: 36 = 6^2 and 36 = 2^2 + 2^5 = 3^2 + 3^3.

Crossrefs

Cf. A001597, A363040.

Sequence in context: A223506 A238037 A238032 * A250625 A057837 A352316

Adjacent sequences: A365503 A365504 A365505 * A365507 A365508 A365509

Keyword

nonn,more

Author

Ilya Gutkovskiy, Sep 07 2023

Status

approved