Search: id:A024365
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%I A024365
%S A024365 6,30,60,84,180,210,330,504,546,630,840,924,990,1224,1320,1386,1560,
%T A024365 1710,1716,2310,2340,2574,2730,3036,3570,3900,4080,4290,4620,4914,5016,
%U A024365 5610,5814,6090,6630,7140,7440,7854,7956,7980,8970,8976,9690,10374
%N A024365 Areas of right triangles with co-prime integer sides.
%C A024365 Consider primitive Pythagorean triangles (A^2 + B^2 = C^2, (A, B) = 1, 
               A <= B); sequence gives areas A*B/2.
%F A024365 Positive integers of the form u*v*(u^2-v^2) where 2uv and u^2-v^2 are 
               co-prime or, alternatively, where u,v are co-prime and one of them 
               is even.
%e A024365 6 is in the sequence because it is the area of the 3-4-5 triangle is 
               the integer 6.
%Y A024365 Cf. A009111, A009112.
%Y A024365 Subsequence of A073120 and A147778.
%Y A024365 Sequence in context: A014203 A044083 A024406 this_sequence A057229 A120734 
               A116360
%Y A024365 Adjacent sequences: A024362 A024363 A024364 this_sequence A024366 A024367 
               A024368
%K A024365 nonn
%O A024365 1,1
%A A024365 David W. Wilson (davidwwilson(AT)comcast.net)
%E A024365 Additional comments James Buddenhagen (jbuddenh(AT)gmail.com), Aug 10 
               2008 and from Max Alekseyev, Nov 12 2008
%E A024365 Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 20 2008 at 
               the suggestion of R. J. Mathar

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