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Numbers that are the sum of 2 (not-distinct) numbers; nonzero power3 and power5, including repetitions.
1

%I #4 Nov 24 2019 10:31:07

%S 2,9,28,33,40,59,65,96,126,157,217,244,248,251,270,307,344,368,375,

%T 459,513,544,586,730,755,761,972,1001,1025,1032,1032,1051,1088,1149,

%U 1240,1243,1332,1363,1367,1536,1574,1729,1753,1760,1971,2024,2198,2229,2355

%N Numbers that are the sum of 2 (not-distinct) numbers; nonzero power3 and power5, including repetitions.

%C 40=2^3+2^5, 1032=2^3+4^5 = 1032=10^3+2^5, 1971=12^3+3^5, ...

%t lst={};Do[Do[Do[a=x^3+y^5;If[a>n,Break[]];If[a==n,AppendTo[lst,n]],{y,5!}],{x,5!}],{n,7!}];lst

%Y Cf. A088719, A088677, A088703, A088687, A001235, A024670, A025320, A025319, A025318, A025317, A025316, A025315, A025314, A025313, A024508, A004431, A024507, A155468, A155469, A155470

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jan 23 2009