%I #21 Apr 23 2020 20:45:13
%S 1,-1,0,3,-7,3,31,-105,101,419,-1971,2923,5800,-40388,81147,64075,
%T -854408,2204543,-56096,-18070916,58866158,-38939227,-371701743,
%U 1544696638,-1870286829,-7166094999,39743193694,-68677654555
%N Reversion of partitions into distinct parts A000009.
%H Vincenzo Librandi, <a href="/A050393/b050393.txt">Table of n, a(n) for n = 1..200</a>
%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 G.f. A(x) satisfies: A(x) = -1 + (1 + x) * Product_{k>=2} 1/(1 + A(x)^k). - _Ilya Gutkovskiy_, Apr 23 2020
%t InverseSeries[QPochhammer[-1, x]/2 + O[x]^20][[3]] (* _Vladimir Reshetnikov_, Sep 22 2016 *)
%Y Cf. A000009, A007312, A050394.
%K sign
%O 1,4
%A _Christian G. Bower_, Nov 15 1999