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A302194 Hurwitz inverse of [1 followed by primes], [1,2,3,5,7,...]. 5
1, -2, 5, -17, 79, -471, 3391, -28451, 272447, -2933807, 35102403, -462021525, 6634207777, -103200019093, 1728836723813, -31030630439249, 594094812208133, -12085090282079299, 260296103744105623, -5917885334682695549, 141625618336446419151 (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. = 1 / (1 + Sum_{n >= 1} prime(n)*x^n/n!).
MAPLE
# first load Maple commands for Hurwitz operations from link
s:=[1, seq(ithprime(n), n=1..64)];
Hinv(s);
CROSSREFS
Sequence in context: A362109 A187245 A361243 * A289739 A243337 A259622
KEYWORD
sign
AUTHOR
N. J. A. Sloane and William F. Keigher, Apr 12 2018
STATUS
approved

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Last modified May 23 00:54 EDT 2024. Contains 372758 sequences. (Running on oeis4.)