

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), 21632185, 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: A184509 A020096 A187245 * 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



