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A070108 Number of integer triangles with perimeter n and prime side lengths which are obtuse and isosceles. 5

%I #6 Mar 30 2012 18:50:20

%S 0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,

%T 0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,

%U 1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0

%N Number of integer triangles with perimeter n and prime side lengths which are obtuse and isosceles.

%H R. Zumkeller, <a href="/A070080/a070080.txt">Integer-sided triangles</a>

%e a(k)<=1 until k = 140, for k = 141 there are A005044(141)=432 integer triangles, a(141)=2 as

%e [37=37<67]: 37+37+67 = 141 and 2*(37^2)<67^2 and 37, 67 are primes,

%e [41=41<59]: 41+41+59 = 141 and 2*(41^2)<59^2 and 41, 59 are primes.

%Y Cf. A070080, A070081, A070082, A070101, A059169, A070088, A070092, A070103, A070106, A070135.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, May 05 2002

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