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A302199 Hurwitz inverse of partition numbers A000041. 2
1, -1, 0, 3, -5, -17, 103, 55, -2680, 6720, 82446, -642698, -2087303, 53641331, -96015983, -4454066000, 35131380473, 323923309109, -6776856484915, -3620043398324, 1159030195119059, -7865002945782432, -175052008152354596, 3163635176513031787 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

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..482

FORMULA

E.g.f. = 1 / Sum_{n >= 0} partition(n)*x^n/n!.

MAPLE

# first load Maple commands for Hurwitz operations from link in A302189.

with(combinat);

s:=[seq(numbpart, n=0..40)];

Hinv(s);

CROSSREFS

Cf. A000041, A302189.

Sequence in context: A100003 A283331 A114161 * A174722 A176131 A087858

Adjacent sequences:  A302196 A302197 A302198 * A302200 A302201 A302202

KEYWORD

sign

AUTHOR

N. J. A. Sloane and William F. Keigher, Apr 14 2018

STATUS

approved

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Last modified September 29 10:06 EDT 2020. Contains 337428 sequences. (Running on oeis4.)