%I #6 Feb 01 2021 19:27:47

%S 17,24,82,89,108,145,257,264,283,320,381,472,626,633,652,689,750,841,

%T 968,1137,1297,1304,1323,1360,1421,1512,1639,1808,2025,2296,2402,2409,

%U 2428,2465,2526,2617,2744,2913,3130,3401,3732,4097,4104,4123,4129,4160,4221,4312,4439,4598

%N Numbers that are the sum of a cube s and a fourth power t such that 0 < s < t.

%e 24 is in the sequence since 2^3 + 2^4 = 8 + 16 = 24, where 0 < 8 < 16.

%t Table[If[Sum[(Floor[i^(1/3)] - Floor[(i - 1)^(1/3)]) (Floor[(n - i)^(1/4)] - Floor[(n - i - 1)^(1/4)]), {i, Floor[(n - 1)/2]}] > 0, n, {}], {n, 1000}] // Flatten

%Y Cf. A010057.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, Dec 26 2020