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

1,1

Comments

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

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.

Example

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.

Crossrefs

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

Sequence in context: A094807 A120644 A099829 * A361568 A158443 A153792

Adjacent sequences: A099827 A099828 A099829 * A099831 A099832 A099833

Keyword

nonn

Author

Hugo Pfoertner, Oct 27 2004

Extensions

More terms from Ray Chandler, Oct 29 2004

Status

approved