A355371 Intersection of A000330 and A086849.

5, 91, 506, 650, 11440

Offset: 1

Author

Ivan N. Ianakiev, Jun 30 2022

Keywords

• nonn
• more

Comments

Numbers that are the sum of the first r nonsquares and also the sum of the first s squares for some r and s.

If it exists, a(6) > 5.4*10^12.

If it exists, a(6) > 10^20. - Michael S. Branicky, Jul 09 2022

Examples

			1+4+9+16+25+36 = 2+3+5+6+7+8+10+11+12+13+14 = 91, so 91 is a term.
		

Crossrefs

Cf. A000330, A086849.

Programs

Mathematica

a000330=Accumulate[Table[i^2,{i,60}]];
a086849=Accumulate[Table[i+Floor[1/2+Sqrt[i]],{i,370}]];
Intersection[a000330,a086849]