Counting triangles with integer sides

1 · John Cook · Nov. 8, 2020, 7:33 p.m.
Let T(N) be the number of distinct (non-congruent) triangles with integer sides and perimeter N.  For example, T(12) = 3 because there are three distinct triangles with integer sides and perimeter 12. There’s the equilateral triangle with sides 4 : 4 : 4, and the Pythagorean triangle 3 : 4 : 5. With a little […] The post Counting triangles with integer sides first appeared on John D. Cook....