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A302194
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Hurwitz inverse of [1 followed by primes], [1,2,3,5,7,...].
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5
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1, -2, 5, -17, 79, -471, 3391, -28451, 272447, -2933807, 35102403, -462021525, 6634207777, -103200019093, 1728836723813, -31030630439249, 594094812208133, -12085090282079299, 260296103744105623, -5917885334682695549, 141625618336446419151
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OFFSET
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0,2
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COMMENTS
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In the ring of Hurwitz sequences all members have offset 0.
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REFERENCES
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Xing Gao and William F. Keigher, Interlacing of Hurwitz series, Communications in Algebra, 45:5 (2017), 2163-2185, DOI: 10.1080/00927872.2016.1226885
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LINKS
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FORMULA
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E.g.f. = 1 / (1 + Sum_{n >= 1} prime(n)*x^n/n!).
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MAPLE
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# first load Maple commands for Hurwitz operations from link
s:=[1, seq(ithprime(n), n=1..64)];
Hinv(s);
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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