id:A099830 - OEIS Search Results

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

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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; listen)

	OFFSET	`1,1`
	COMMENT	`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 this_sequence A158443 A153792 A000141` `Adjacent sequences: A099827 A099828 A099829 this_sequence 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 December 6 22:55 EST 2009. Contains 170429 sequences.

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