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!)
A022618 Expansion of Product_{m>=1} (1+q^m)^(-23). 2

%I #13 Apr 05 2017 11:29:49

%S 1,-23,253,-1794,9384,-39491,142462,-460483,1370041,-3810479,10013533,

%T -25082512,60303171,-139870107,314254704,-686285914,1461009887,

%U -3039222369,6190256915,-12366732828,24269855093

%N Expansion of Product_{m>=1} (1+q^m)^(-23).

%H Seiichi Manyama, <a href="/A022618/b022618.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) ~ (-1)^n * 23^(1/4) * exp(Pi*sqrt(23*n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Aug 27 2015

%F a(0) = 1, a(n) = -(23/n)*Sum_{k=1..n} A000593(k)*a(n-k) for n > 0. - _Seiichi Manyama_, Apr 05 2017

%t nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^23, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Aug 27 2015 *)

%K sign

%O 0,2

%A _N. J. A. Sloane_

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 August 20 05:46 EDT 2024. Contains 375311 sequences. (Running on oeis4.)