login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A302199 Hurwitz inverse of partition numbers A000041. 2

%I #10 Apr 15 2018 01:06:27

%S 1,-1,0,3,-5,-17,103,55,-2680,6720,82446,-642698,-2087303,53641331,

%T -96015983,-4454066000,35131380473,323923309109,-6776856484915,

%U -3620043398324,1159030195119059,-7865002945782432,-175052008152354596,3163635176513031787

%N Hurwitz inverse of partition numbers A000041.

%C In the ring of Hurwitz sequences all members have offset 0.

%D Xing Gao and William F. Keigher, Interlacing of Hurwitz series, Communications in Algebra, 45:5 (2017), 2163-2185, DOI: 10.1080/00927872.2016.1226885

%H Seiichi Manyama, <a href="/A302199/b302199.txt">Table of n, a(n) for n = 0..482</a>

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

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

%p with(combinat);

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

%p Hinv(s);

%Y Cf. A000041, A302189.

%K sign

%O 0,4

%A _N. J. A. Sloane_ and William F. Keigher, Apr 14 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)