A157413 - OEIS

%I #4 Mar 30 2012 17:39:54

%S 1,7,4,0,8,7,0,7,1,7,6,0,9,7,9,3,6,2,4,7,1,9,9,3,3,1,6,6,2,1,5,5,4,4,

%T 4,2,6,5,8,7,4,9,5,0,0,0,8,1,0,3,3,0,6,8,4,0,1,6,1,4,8,1,1,9,9,4,9,8,

%U 8,3,2,9,0,2,0,7,2,4,5,5,3,9,2,4,2,1,5,0,7,9,1,8,6,9,8,2,0,7,3,0,8,2,3,0,4

%N Decimal expansion of sum_{p = primes = A000040} 1/(p*2^p).

%H R. J. Mathar, <a href="http://arxiv.org/abs/0803.0900">Series of reciprocal powers of k-almost primes</a>, arXiv:0803.0900, eq (66).

%F A002162 = sum_{n>=1} 1/(n*2^n) = 1/2 + this_constant_here + A157414 + equivalent terms of higher order k-almost primes.

%e 0.174087071760979362471993... = 1/(2*2^2)+1/(3*2^3)+1/(5*2^5)+1/(7*2^7)+... = sum_{i>=1} 1/(A000040(i)*A034785(i)).

%K cons,nonn

%O 0,2

%A _R. J. Mathar_, Feb 28 2009