

A099830


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


3



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
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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 * A158443 A153792 A229616
Adjacent sequences: A099827 A099828 A099829 * A099831 A099832 A099833


KEYWORD

nonn,changed


AUTHOR

Hugo Pfoertner, Oct 27 2004


EXTENSIONS

More terms from Ray Chandler, Oct 29 2004


STATUS

approved



