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%I #8 Mar 30 2012 17:36:51
%S 1,3,3,45,3,381,2349,115329357,10279641655875,5033685952807971,
%T 5263826472436016979,
%U 898670952308059000662208200339860406351380028634597445743368513219427297854627,1163046333059983884005407440923089001865672520479660324278034104804471332063117356524700189
%N For odd p such that 2^p-1 is a prime (A000043), write 2^p-1 = x^2+3*y^2; sequence gives values of y.
%D F. Lemmermeyer, Reciprocity Laws From Euler to Eisenstein, Springer-Verlag, 2000, p. 59.
%H Phil Moore, Tony Reix and others, <a href="http://www.mersenneforum.org/showthread.php?t=345">Online Discussion</a>
%e p=7: 127 = 10^2 + 3*3^2, so a(3) = 3.
%Y Cf. A000043, A000668, A059494.
%K nonn,easy
%O 1,2
%A _N. J. A. Sloane_, Feb 05 2001
%E More terms from _Joshua Zucker_, May 23 2006