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 A302191 Numerators of Hurwitz inverse of primes [2,3,5,7,...]. 5

%I #13 Apr 14 2018 18:10:55

%S 1,-3,1,-5,-7,97,-403,3795,1683,-67403,141662,-5744835,-710829,

%T 124489961,-7187558877,247099181979,-43618981401,-2710990422171,

%U 16455095049450,-1725616801459565,2828334020055989,58332444583336295,-2708485501761494555

%N Numerators of Hurwitz inverse of primes [2,3,5,7,...].

%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 N. J. A. Sloane, <a href="/A302189/a302189.txt">Maple programs for operations on Hurwitz sequences</a>

%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 # first load Maple commands for Hurwitz operations from link

%p s:=[seq(ithprime(n),n=1..64)];

%p Hinv(s);

%Y Cf. A302192, A302193.

%K sign,frac

%O 0,2

%A _N. J. A. Sloane_ and William F. Keigher, Apr 12 2018

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Last modified July 23 11:07 EDT 2024. Contains 374549 sequences. (Running on oeis4.)