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%I #7 Apr 05 2012 17:30:49
%S -3,-3,-5,5,1,1,13,-71,47,97,-65,23,73,-149,719,-345,2453,299,1737,
%T 7851,5359,22021,30039,45211,143627,210871,404681,627271,1446107,
%U 2401465,5033375,8279849,16695395,30641101,59192219,107592545,209720011,386315899,747523379
%N 2*A197072(n-1) - A197072(n).
%C From A033844 it can be seen that prime(2^(n+1)) ~ 2*prime(2^n), which is explained by the prime number theorem. This led to the definition of A197072 (difference of these two expressions), which has again the property that A197072(n+1) ~ 2*A197072(n). This motivated the present sequence. (There is still a slow convergence to 2 of the ratio between successive terms here, e.g. a(55)/a(54) ~ 1.926.)
%o (PARI) a(n)=2*A197072(n-1)-A197072(n)
%K sign
%O 1,1
%A _M. F. Hasler_, Oct 10 2011
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