Search: id:A120064
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%I A120064
%S A120064 4,8,10,14,20,20,28,28,30,39,44,40,52,56,50,56,68,60,76,70,70,87,92,80,
%T A120064 100,100,90,97,116,100,124,112,110,136,120,120,148,152,130,140,164,140,
%U A120064 172,154,150,184,188,160,196,174,170,182,212,180,196,189,190,232,236
%N A120064 Shortest side b of all integer-sided triangles with sides a<=b<=c and 
               inradius n.
%C A120064 Terms a(11),..., a(100) computed by Thomas Mautsch (mautsch(AT)ethz.ch).
%H A120064 David W. Wilson, <a href="b120064.txt">Table of n, a(n) for n = 1..10000</
               a>
%e A120064 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.
%e A120064 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.
%Y A120064 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.
%Y A120064 See A120062 for sequences related to integer-sided triangles with integer 
               inradius n.
%Y A120064 Sequence in context: A099861 A161667 A063087 this_sequence A028873 A153975 
               A020169
%Y A120064 Adjacent sequences: A120061 A120062 A120063 this_sequence A120065 A120066 
               A120067
%K A120064 nonn
%O A120064 1,1
%A A120064 Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 13 2006

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