Intended for: November 9, 2012
Timetable
- First draft entered by Charles R Greathouse IV on July 29, 2011 ✓
- Draft to be reviewed by September 9, 2012
- Draft to be approved by October 9, 2012
The line below marks the end of the <noinclude> ... </noinclude> section.
A193018: The largest integer that cannot be written as the sum of squares of integers larger than
.
-
{ 23, 87, 119, 201, 312, 376, 455, 616, 760, 840, 1055, 1136, 1248, 1472, 1719, 1959, ... }
What is the true order of this sequence? Obviously, the smallest integer that can be written thusly is
(or
if we want two terms). The upper bound
a (n) < n 4 + 6 n 3 + 11 n 2 + 6 n |
can be obtained via
Sylvester’s theorem, so
(the lower bound being trivial).