- Thread starter
- Admin
- #1

- Feb 14, 2012

- 3,894

-----

For any natural number $n$, ($n\ge 3$), let $f(n)$ denote the number of non-congruent integer-sided triangles with perimeter $n$ (e.g., $f(3)=1,\,f(4)=0,\,f(7)=2$). Show that

a. $f(1999)>f(1996)$,

b. $f(2000)=f(1997)$.

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!