%I #10 Apr 15 2018 01:06:27
%S 1,-1,0,3,-5,-17,103,55,-2680,6720,82446,-642698,-2087303,53641331,
%T -96015983,-4454066000,35131380473,323923309109,-6776856484915,
%U -3620043398324,1159030195119059,-7865002945782432,-175052008152354596,3163635176513031787
%N Hurwitz inverse of partition numbers A000041.
%C In the ring of Hurwitz sequences all members have offset 0.
%D Xing Gao and William F. Keigher, Interlacing of Hurwitz series, Communications in Algebra, 45:5 (2017), 2163-2185, DOI: 10.1080/00927872.2016.1226885
%H Seiichi Manyama, <a href="/A302199/b302199.txt">Table of n, a(n) for n = 0..482</a>
%F E.g.f. = 1 / Sum_{n >= 0} partition(n)*x^n/n!.
%p # first load Maple commands for Hurwitz operations from link in A302189.
%p with(combinat);
%p s:=[seq(numbpart,n=0..40)];
%p Hinv(s);
%Y Cf. A000041, A302189.
%K sign
%O 0,4
%A _N. J. A. Sloane_ and William F. Keigher, Apr 14 2018
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