A120572 - OEIS

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A120572

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

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; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`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 * A000056 A083170 A087081` `Adjacent sequences: A120569 A120570 A120571 * A120573 A120574 A120575`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net), Jun 17 2006`

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Last modified February 15 14:02 EST 2012. Contains 205811 sequences.