%I #6 Jan 05 2020 05:36:44
%S 1,5,16,49,136,380,1016,2745,7369,19840,53395,143620,386374,1039386,
%T 2796001,7521561,20233860,54431237,146425762,393900764,1059634634,
%U 2850529093,7668224519,20628334404,55492399461,149280418500,401580100348,1080292905482,2906102072179,7817721667285
%N Expansion of log(1/(1-Prime(x))) where Prime(x) = Sum{n>=1} A008578(n)*x^n.
%H Andrew Howroyd, <a href="/A180129/b180129.txt">Table of n, a(n) for n = 1..200</a>
%F Logarithm g.f.: Sum_{n>0} a(n)*x^n/n = log(1/(1-Prime(x))).
%F Logarithmic derivative of A300662. - _Andrew Howroyd_, Jan 04 2020
%o (PARI) seq(n)={Vec(deriv(log(1/(1 - x - x*sum(k=1, n-1, prime(k)*x^k, O(x^n))))))} \\ _Andrew Howroyd_, Jan 04 2020
%Y Cf. A008578, A300662.
%K nonn
%O 1,2
%A _Vladimir Kruchinin_, Aug 12 2010
%E Terms a(16) and beyond from _Andrew Howroyd_, Jan 04 2020
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