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Exponential reversion of divisor function A000005.
2

%I #15 Apr 22 2020 19:21:10

%S 1,-2,10,-83,968,-14550,267657,-5823342,146255131,-4164222891,

%T 132539992770,-4663220787205,179712285498419,-7528614819216452,

%U 340644924343427080,-16555539553909999044,860131362806819785898

%N Exponential reversion of divisor function A000005.

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H <a href="/index/Res#revert">Index entries for reversions of series</a>

%F E.g.f. A(x) satisfies: A(x) = x - Sum_{k>=2} d(k) * A(x)^k / k!. - _Ilya Gutkovskiy_, Apr 22 2020

%o (PARI) seq(n)= Vec(serlaplace(serreverse(sum(k=1, n, numdiv(k)*x^k/k!) + O(x*x^n)))); \\ _Michel Marcus_, Apr 21 2020

%Y Cf. A000005, A050389.

%K sign

%O 1,2

%A _Christian G. Bower_, Nov 15 1999