Hi, i can't find a relation between the terms of the following series:

(i.e how to get the next term by relating to previous term(s).)

The series is:

2,6,20,70,252,924,3432,...

Thanks.

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- Mar 13th 2011, 07:20 AMpranayRelation between the terms of series
Hi, i can't find a relation between the terms of the following series:

(i.e how to get the next term by relating to previous term(s).)

The series is:

2,6,20,70,252,924,3432,...

Thanks. - Mar 13th 2011, 07:45 AMCaptainBlack
You type it into the >>Online Encyclopaedia of Integer Sequences<<.

Then you note that there is no unique solution to such questions. In fact the only correct answer is "What would you like it to be"

CB - Mar 13th 2011, 07:56 AMSambit
These are the terms for $\displaystyle \binom{2n}{n}$ for $\displaystyle n=1,2,3,........$.

- Mar 13th 2011, 11:09 AMpranay
- Mar 13th 2011, 11:59 AMOpalg
These numbers are closely related to the Catalan numbers. They satisfy the recurrence relation $\displaystyle a[n+1] = \frac{4n+2}{n+1}a[n].$

- Mar 13th 2011, 02:52 PMCaptainBlack
- Mar 13th 2011, 07:26 PMpranay