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%I #15 Feb 19 2019 10:24:35
%S 2,4,1,8,2,4,4,16,2,4,1,8,2,2,8,32,2,4,1,8,2,4,4,16,1,4,4,8,2,8,16,64,
%T 1,4,4,8,2,4,8,16,2,4,4,8,1,4,16,32,2,4,4,8,1,4,2,16,1,4,4,8,2,16,16,
%U 128,1,4,4,8,2,2,8,16,1,4,1,8,1,8,16,32,1,4,1,8,2
%N Denominators of Hurwitz inverse of primes [2,3,5,7,...].
%C In the ring of Hurwitz sequences all members have offset 0.
%H Xing Gao and William F. Keigher, <a href="https://doi.org/10.1080/00927872.2016.1226885">Interlacing of Hurwitz series</a>, Communications in Algebra, 45:5 (2017), 2163-2185, DOI: 10.1080/00927872.2016.1226885.
%F E.g.f. for A302191/A302192 is 1 / Sum_{n >= 0} prime(n+1)*x^n/n!.
%e 1/2, -3/4, 1, -5/8, -7/2, 97/4, -403/4, 3795/16, 1683/2, -67403/4, 141662, -5744835/8, -710829/2, 124489961/2, -7187558877/8, ...
%p (See A302191 for Maple code)
%Y Cf. A302191, A302193.
%K nonn,frac
%O 0,1
%A _N. J. A. Sloane_ and William F. Keigher, Apr 12 2018