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

1,1

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.

Example

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.

Crossrefs

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

Sequence in context: A273691 A094807 A120644 * A099830 A361568 A158443

Adjacent sequences: A099826 A099827 A099828 * A099830 A099831 A099832

Keyword

nonn

Author

Hugo Pfoertner, Oct 27 2004

Extensions

More terms from Ray Chandler, Oct 29 2004

Status

approved