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A302191 Numerators of Hurwitz inverse of primes [2,3,5,7,...]. 5
1, -3, 1, -5, -7, 97, -403, 3795, 1683, -67403, 141662, -5744835, -710829, 124489961, -7187558877, 247099181979, -43618981401, -2710990422171, 16455095049450, -1725616801459565, 2828334020055989, 58332444583336295, -2708485501761494555 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
In the ring of Hurwitz sequences all members have offset 0.
REFERENCES
Xing Gao and William F. Keigher, Interlacing of Hurwitz series, Communications in Algebra, 45:5 (2017), 2163-2185, DOI: 10.1080/00927872.2016.1226885
LINKS
FORMULA
E.g.f. for A302191/A302192 is 1 / Sum_{n >= 0} prime(n+1)*x^n/n!.
EXAMPLE
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, ...
MAPLE
# first load Maple commands for Hurwitz operations from link
s:=[seq(ithprime(n), n=1..64)];
Hinv(s);
CROSSREFS
Sequence in context: A136437 A137328 A140991 * A261712 A038738 A210741
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane and William F. Keigher, Apr 12 2018
STATUS
approved

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Last modified June 24 23:28 EDT 2024. Contains 373691 sequences. (Running on oeis4.)