A099829 Smallest perimeter S such that at least n distinct Pythagorean triangles with this perimeter can be constructed.

12, 60, 120, 240, 420, 720, 840, 840, 1680, 1680, 2520, 2520, 4620, 5040, 5040, 5040, 9240, 9240, 9240, 9240, 18480, 18480, 18480, 18480, 18480, 27720, 27720, 27720, 27720, 27720, 27720, 55440, 55440, 55440, 55440, 55440, 55440, 55440, 55440

Offset: 1

Author

Hugo Pfoertner, Oct 27 2004

Keywords

• nonn

Examples

			a(3)=120 because 120 is the smallest possible perimeter for which 3 different Pythgorean triangles exist: 120=20+48+52=24+45+51=30+40+50.
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..279
• Ron Knott, Pythagorean Triples and Online Calculators
• Eric Weisstein's World of Mathematics, Pythagorean Triple.
• Index entries related to Pythagorean Triples.

Crossrefs

Cf. A099830 first perimeter with exact match of number of Pythagorean triangles, A009096 ordered perimeters of Pythagorean triangles.

Extensions

More terms from Ray Chandler, Oct 29 2004