A365506 - OEIS

%I #6 Sep 25 2023 09:07:13

%S 1,36,125,81,128

%N 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.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PerfectPower.html">Perfect Power</a>.

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

%Y Cf. A001597, A363040.

%K nonn,more

%O 1,2

%A _Ilya Gutkovskiy_, Sep 07 2023