A099830 Smallest perimeter S such that exactly n distinct Pythagorean triangles with this perimeter can be constructed.

12, 60, 120, 240, 420, 720, 1320, 840, 2640, 1680, 3360, 2520, 4620, 7920, 7560, 5040, 10080, 17160, 10920, 9240, 40320, 25200, 28560, 21840, 18480, 60480, 41580, 46200, 36960, 32760, 27720, 78540, 60060, 129360, 134640, 115920, 85680, 65520, 83160

Offset: 1

Author

Hugo Pfoertner, Oct 27 2004

Keywords

• nonn

Comments

Least perimeter common to exactly n distinct Pythagorean triangles. - Lekraj Beedassy, Jun 07 2006

Examples

			a(7)=1320 because 1320 is the smallest possible perimeter for which exactly 7 different Pythgorean triangles exist: 1320 = 110+600+610 = 120+594+606 = 220+528+572 = 231+520+569 = 264+495+561 = 330+440+550 = 352+420+548.
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..163
• Ron Knott, Pythagorean Triples and Online Calculators
• Eric Weisstein's World of Mathematics, Pythagorean Triple.
• Index entries related to Pythagorean Triples.

Crossrefs

Cf. A099829 first perimeter producing at least n Pythagorean triangles, A009096 ordered perimeters of Pythagorean triangles, A001399, A069905 partitions into 3 parts.

Extensions

More terms from Ray Chandler, Oct 29 2004