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Decimal expansion of Sum_{q in A001358} log(q)/q^2 over the semiprimes q = 4,6,9,...
1

%I #11 Mar 23 2024 17:31:11

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

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

%N Decimal expansion of Sum_{q in A001358} log(q)/q^2 over the semiprimes q = 4,6,9,...

%C Semiprime analog of A136271. The absolute value of the first derivative of the semiprime zeta function at 2.

%H R. J. Mathar, <a href="http://arxiv.org/abs/0803.0900">Series of reciprocal powers of k-almost primes</a>, arXiv:0803.0900 [math.NT], 2008-2009; see Table 4.

%F Equals Sum_{j>=1} log(A001358(j))/A074985(j).

%e Equals 0.283606815... = log(4)/16 + log(6)/36 + log(9)/81 + ....

%K cons,nonn,more

%O 0,1

%A _R. J. Mathar_, Jan 17 2009