

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
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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), 21632185, 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



KEYWORD

sign


AUTHOR



STATUS

approved



