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A302192 Denominators of Hurwitz inverse of primes [2,3,5,7,...]. 5
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, 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, 128, 1, 4, 4, 8, 2, 2, 8, 16, 1, 4, 1, 8, 1, 8, 16, 32, 1, 4, 1, 8, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
In the ring of Hurwitz sequences all members have offset 0.
LINKS
Xing Gao and William F. Keigher, Interlacing of Hurwitz series, Communications in Algebra, 45:5 (2017), 2163-2185, DOI: 10.1080/00927872.2016.1226885.
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
(See A302191 for Maple code)
CROSSREFS
Sequence in context: A103324 A221073 A181266 * A087060 A248112 A173122
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane and William F. Keigher, Apr 12 2018
STATUS
approved

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Last modified June 14 07:16 EDT 2024. Contains 373393 sequences. (Running on oeis4.)