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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..200

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

Cf. A008578, A300662.

Sequence in context: A166868 A055144 A171426 * A244410 A052909 A037536

Adjacent sequences:  A180126 A180127 A180128 * A180130 A180131 A180132

KEYWORD

nonn

AUTHOR

Vladimir Kruchinin, Aug 12 2010

EXTENSIONS

Terms a(16) and beyond from Andrew Howroyd, Jan 04 2020

STATUS

approved

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Last modified March 30 10:26 EDT 2020. Contains 333125 sequences. (Running on oeis4.)