%I #11 Jul 09 2022 15:36:29
%S 5,91,506,650,11440
%N Intersection of A000330 and A086849.
%C Numbers that are the sum of the first r nonsquares and also the sum of the first s squares for some r and s.
%C If it exists, a(6) > 5.4*10^12.
%C If it exists, a(6) > 10^20. - _Michael S. Branicky_, Jul 09 2022
%e 1+4+9+16+25+36 = 2+3+5+6+7+8+10+11+12+13+14 = 91, so 91 is a term.
%t a000330=Accumulate[Table[i^2,{i,60}]];
%t a086849=Accumulate[Table[i+Floor[1/2+Sqrt[i]],{i,370}]];
%t Intersection[a000330,a086849]
%Y Cf. A000330, A086849.
%K nonn,more
%O 1,1
%A _Ivan N. Ianakiev_, Jun 30 2022