Tag Archives: Catalan numbers
we are ending realized that as divides , then
indicates a rute of discoveries…
as sided to the catalanization one: .
Zum beispiel: Enter
series(4 (4-x)^(3/2)-12 x sqrt(4-x) – 12 x^(3/2) arctan(sqrt( x/(4-x) )))/(4-x)^(5/2)
in a wolframalpha window.
Here is the Central Binomial Increasing Natural Sequence: – combinations
, the Catalan Increasing Natural Sequence. So volkers a deep understanding of hypergeometric function and strong pop computer algebra profits…
Let me remind or feedback to you something like the Gauss’ little sum .
In this little post I complete the details of the calculation
We begin by recalling the relation , that is, in terms of the Beta function. So
This was hinted to me, thanks to, by the professor Qiaochu Yuan and I am not ashamed to confess that the calculations were executed in mathematica-v5. Why? well, the risk of introducing errors is a little-big.