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URL: https://oeis.org/A355371

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A355371
Intersection of A000330 and A086849.
0
5, 91, 506, 650, 11440
OFFSET
1,1
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
EXAMPLE
1+4+9+16+25+36 = 2+3+5+6+7+8+10+11+12+13+14 = 91, so 91 is a term.
MATHEMATICA
a000330=Accumulate[Table[i^2, {i, 60}]];
a086849=Accumulate[Table[i+Floor[1/2+Sqrt[i]], {i, 370}]];
Intersection[a000330, a086849]
CROSSREFS
Sequence in context: A038636 A282052 A152299 * A242945 A243198 A091281
KEYWORD
nonn,more
AUTHOR
Ivan N. Ianakiev, Jun 30 2022
STATUS
approved