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A120572

Smallest area of any triangle with integer sides a<=b<=c and inradius n.

+0
2

6, 24, 48, 84, 150, 192, 294, 336, 432, 540, 726, 756, 1014, 1134, 1170, 1344, 1734, 1710, 2166, 2100, 2310, 2640, 3174, 3000, 3750, 4056, 3888, 4116, 5046, 4680, 5766, 5376, 5808, 6936, 6510, 6804, 8214, 8664, 8112, 8400, 10086, 9240, 11094, 10164 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n) == 0 (mod 6).` `Empirically, 3*sqrt(3) < a(n)/n^2 <= 6. The lower bound is provably tight, the upper bound seems to be achieved infinitely often, e.g, for prime n >= 5.`
	LINKS	`David W. Wilson, Table of n, a(n) for n = 1..10000`
	CROSSREFS	`See A120062 for sequences related to integer-sided triangles with integer inradius n.` `Sequence in context: A161333 A002688 A083212 this_sequence A000056 A083170 A087081` `Adjacent sequences: A120569 A120570 A120571 this_sequence A120573 A120574 A120575`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net), Jun 17 2006`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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