%I #5 Mar 30 2012 18:52:39
%S 1,3,6,10,24,51,84,251,419,755,960,3121,3582,4515,9299,35878,42613,
%T 127165,211625,235352,5457937,17353542,23023556
%N Numbers n such that x^2+y^2+prime(n)^2=3*x*y*prime(n).
%F {n: A000040(n) in A002559}. [From _R. J. Mathar_, Mar 09 2010]
%e a(1)=1 because 1^2+5^2+prime(1)^2=3*1*5*prime(1); a(2)=3 because 1^2+2^2+prime(3)^2=3*1*2*prime(3); a(3)=6 because 29^2+34^2+prime(6)^2=3*29*34*prime(6); a(4)=10 because 13^2+34^2=prime(10)^2=3*13*34*prime(10).
%Y Cf. A000040, A002559, A178444 (prime(n)).
%K nonn
%O 1,2
%A _Juri-Stepan Gerasimov_, Mar 03 2010
%E Extended beyond 960 by _R. J. Mathar_, Mar 09 2010