Search: id:A070200
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%I A070200
%S A070200 0,0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,
%T A070200 1,1,1,2,0,1,1,1,1,1,1,2,1,1,1,1,1,2,2,0,1,1,1,1,1,1,2,2,2,1,1,1,2,1,2,
%U A070200 2,2,0,1,1,1,1,2,1,2,2,2,2,2,1,1,1,2,1,2
%N A070200 Inradii of integer triangles [A070080(n), A070081(n), A070082(n)], rounded
values.
%C A070200 Triangles [A070080(A070209(n)), A070081(A070209(n)), A070082(A070209(n))]
have integer inradii = a(A070209(k))= A070210(k).
%H A070200 Eric Weisstein's World of Mathematics, Incircle.
%H A070200 R. Zumkeller, Integer-sided triangles
%F A070200 a(n) = SquareRoot((s-u)*(s-v)*(s-w)/s), where u=A070080(n), v=A070081(n),
w=A070082(n) and s=A070083(n)/2=(u+v+w)/2.
%e A070200 [A070080(25), A070081(25), A070082(25)]=[3,5,6] and s=A070083(25)/2=(3+5+6)/
2=7: a(25)=SquareRoot((s-3)*(s-5)*(s-6)/7) = SquareRoot((7-3)*(7-5)*(7-6)/
7) = SquareRoot(4*2*1/7) = SquareRoot(8/7) = 1.069, rounded = 1.
%Y A070200 Cf. A070086.
%Y A070200 Sequence in context: A134541 A154782 A144474 this_sequence A025914 A025916
A025905
%Y A070200 Adjacent sequences: A070197 A070198 A070199 this_sequence A070201 A070202
A070203
%K A070200 nonn
%O A070200 1,39
%A A070200 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 05 2002
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