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A120064
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Shortest side b of all integer-sided triangles with sides a<=b<=c and inradius n.
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3
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4, 8, 10, 14, 20, 20, 28, 28, 30, 39, 44, 40, 52, 56, 50, 56, 68, 60, 76, 70, 70, 87, 92, 80, 100, 100, 90, 97, 116, 100, 124, 112, 110, 136, 120, 120, 148, 152, 130, 140, 164, 140, 172, 154, 150, 184, 188, 160, 196, 174, 170, 182, 212, 180, 196, 189, 190, 232, 236
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OFFSET
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1,1
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COMMENTS
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Terms a(11),..., a(100) computed by Thomas Mautsch (mautsch(AT)ethz.ch).
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LINKS
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David W. Wilson, Table of n, a(n) for n = 1..10000
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EXAMPLE
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a(1)=2 because the only triangle with integer sides a<=b<c and inradius 1 is {3,4,5}; its middle side is 4.
a(2)=8: The triangles with inradius 2 are {5,12,13}, {6,8,10}, {6,25,29}, {7,15,20}, {9,10,17}. The minimum of their middle sides is min(12,8,25,15,10)=8.
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CROSSREFS
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Cf. A120062 [triangles with integer inradius], A120252 [primitive triangles with integer inradius], A057721 [maximum of longest sides], A120063 [minimum of longest sides], A058331 [maximum of shortest sides], A082044 [maximum of middle sides], A005408 [minimum of shortest sides], A007237.
See A120062 for sequences related to integer-sided triangles with integer inradius n.
Sequence in context: A099861 A161667 A063087 * A191330 A028873 A153975
Adjacent sequences: A120061 A120062 A120063 * A120065 A120066 A120067
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KEYWORD
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nonn
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AUTHOR
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Hugo Pfoertner, Jun 13 2006
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STATUS
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approved
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