login
A180129
Expansion of log(1/(1-Prime(x))) where Prime(x) = Sum{n>=1} A008578(n)*x^n.
1
1, 5, 16, 49, 136, 380, 1016, 2745, 7369, 19840, 53395, 143620, 386374, 1039386, 2796001, 7521561, 20233860, 54431237, 146425762, 393900764, 1059634634, 2850529093, 7668224519, 20628334404, 55492399461, 149280418500, 401580100348, 1080292905482, 2906102072179, 7817721667285
OFFSET
1,2
LINKS
FORMULA
Logarithm g.f.: Sum_{n>0} a(n)*x^n/n = log(1/(1-Prime(x))).
Logarithmic derivative of A300662. - Andrew Howroyd, Jan 04 2020
PROG
(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
CROSSREFS
Sequence in context: A166868 A055144 A171426 * A244410 A052909 A037536
KEYWORD
nonn
AUTHOR
Vladimir Kruchinin, Aug 12 2010
EXTENSIONS
Terms a(16) and beyond from Andrew Howroyd, Jan 04 2020
STATUS
approved