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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 Seiichi Manyama, Table of n, a(n) for n = 0..436 N. J. A. Sloane, Maple programs for operations on Hurwitz sequences 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 Cf. A302191, A302192. Sequence in context: A362109 A187245 A361243 * A289739 A243337 A259622 Adjacent sequences: A302191 A302192 A302193 * A302195 A302196 A302197 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.)