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%I #4 Jul 04 2017 12:34:43
%S 1,3,35,39,295,311,33079,33087,37183,38207,1099511665983,
%T 1099511666111,1099511797183,1099512059327,1099514156479,
%U 1099514156495,1099648374223,1100722116047,1100722124239,1100722126287,1100722388431,9896815410639
%N Partial sums of A030001, starting at n=1.
%C Partial sums of smallest power of 2 whose decimal expansion contains n. One may see this sequence expressed in binary, rather than decimal, for clarity, though "carries" obscure the characteristic function aspects of structure. The subsequence of primes in this partial sum begins: 3, 311, 1100722116047, 1100722388431.
%F a(n) = SUM[i=1..n] A030001(i).
%e a(6) = 1 + 2 + 32 + 4 + 256 + 16 = 311 is prime.
%Y Cf. A030000, A030001.
%K base,easy,nonn
%O 1,2
%A _Jonathan Vos Post_, Apr 25 2010
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