%I #28 Mar 02 2022 15:57:43

%S 3,6,11,18,21,34,45,56,69,74,75,84,93,98,105,112,123,124,131,138,143,

%T 146,149,154,159,166,173,178,187,190,191,194,203,210,213,214,215,218,

%U 219,222,227,234,235,236,239,240,245,254,255,258,261,262,263,266,267,274,275,276

%N Sums of three perfect powers with different exponents: m = a^x + b^y + c^z with a > 0, b > 0, c > 0, x > 1, y > 1, z > 1 and x, y, z are all different, with m not representable with fewer such addends.

%e 3 is a term as 3 = 1^2 + 1^3 + 1^4.

%e 6 is a term as 6 = 2^2 + 1^3 + 1^4.

%e 18 is a term. The possibilities are 1^2 + 1^3 + 2^4 or 3^2 + 2^3 + 1^4 or 4^2 + 1^3 + 1^4 (considering only minimal possible exponents for bases equal to 1).

%Y Cf. A074499, A351062, A351063.

%K nonn

%O 1,1

%A _Alberto Zanoni_, Jan 31 2022

%E Definition clarified by _Alberto Zanoni_, Feb 28 2022