The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 Table of n, a(n) for n=0..22. N. J. A. Sloane, Maple programs for operations on Hurwitz sequences 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 Cf. A302192, A302193. Sequence in context: A136437 A137328 A140991 * A261712 A038738 A210741 Adjacent sequences: A302188 A302189 A302190 * A302192 A302193 A302194 KEYWORD sign,frac AUTHOR N. J. A. Sloane and William F. Keigher, Apr 12 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

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