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!)
A109088 Taylor series of 1/f(x) with recursively defined function f(x) from A109087. 4

%I #2 Sep 29 2006 03:00:00

%S 0,1,-1,-1,4,-1,-11,11,26,-46,-70,202,160,-936,252,3119,-4379,-3459,

%T 14888,-20536,29732,38061,-479128,960501,1356685,-8916019,8540446,

%U 35338281,-110022439,5461908,570854415,-1033426187,-1165212555,7430011628,-6748665176,-27528038218,81920080445,10199574479

%N Taylor series of 1/f(x) with recursively defined function f(x) from A109087.

%F sum(n = 0, infinity)a(n)x^n = 1/f(x).

%e 1/f(x) = x - x^2 - x^3 + 4*x^4 - x^5 - 11*x^6 + 11*x^7 + 26*x^8 - 46*x^9 - 70*x^10 + 202*x^11 + 160*x^12 - 936*x^13 + 252*x^14 + 3119*x^15 + O(x^16)

%o (PARI) N=40;f=x;g=1;for(n=1,N, g/=f;f+=g+O(x^N));Vec(1/f)

%Y Cf. A109086, A109089, A109090.

%K easy,sign

%O 0,5

%A Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Jun 20 2005

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 April 19 08:08 EDT 2024. Contains 371782 sequences. (Running on oeis4.)