%I #2 Mar 30 2012 18:40:51
%S 2,7,37,2325,67174677,144115192370888981,
%T 1329227995784915891350551138284929301,
%U 226156424291633194186662080095093570366200305721017690121386945275228127509
%N Partial sums of A000133.
%C Partial sums of number of Boolean functions of n variables. The subsequence of primes in this partial sum begins: 2, 7, 37, 1329227995784915891350551138284929301. What is the next such prime?
%F a(n) = SUM[i=1..n] A000133(i) = SUM[i=1..n] (2^(2^i)+(2^i-1)*2^(2^(i-1)+1))/2^(i+1).
%e a(8) = 2 + 5 + 30 + 2288 + 67172352 + 144115192303714304 + 1329227995784915891206435945914040320 + 226156424291633194186662080095093570364871077725232774230036394136943198208.
%Y Cf. A000133.
%K easy,nonn
%O 1,1
%A _Jonathan Vos Post_, Feb 23 2010