A099830 - OEIS

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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 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Least perimeter common to exactly n distinct Pythagorean triangles. - Lekraj Beedassy (blekraj(AT)yahoo.com), Jun 07 2006`
	LINKS	`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 A000141` `Adjacent sequences: A099827 A099828 A099829 * A099831 A099832 A099833`
	KEYWORD	`nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Oct 27 2004`
	EXTENSIONS	`More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 29 2004`

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Last modified February 15 07:22 EST 2012. Contains 205706 sequences.