To any sequence of numbers \(a_0,a_1,a_2,\dots\) one can associate its so-called generating function \(S(x):=a+0+a_1x+a_2x^2+\dots\) and its n-th partial sums \( S_n(x):=a_0+a_1x+a_2x^2+ \dots +a_n x^n\). In this talk we will consider the generating functionand its n-th partial sums of the sequence \( 1,1,1,1,1,\dots\) and use then to deduce various surprising applications. This explains the title of this talk.
The remarkable sequence 1,1,1,1,1,1,... (junior colloquium)
14.06.2017 14:30 - 15:30
Organiser:
H. Hauser
Location:
Sky Lounge, 12. OG, OMP 1
Related Files
- 14062017van_den_Essen_JK.pdf 117 KB