I have a centered random variables $Y_1,Y_2$ which first 10 moments are given respectively by

$$ 0, 1, 0, 6, 0, 90, 0, 2520, 0, 113400 $$

$$0, 1, 0, 32/3, 0, 36847/100, 0, 436879364/15435, 0, 71230188570971/17781120$$

May be someone is able to conjecture what is the law of $Y_1$ and/or $Y_2$. I.e. may be some "well-known" law has the same moments.

The above values are limit cases of parametrised family of laws in (www.mimuw.edu.pl/~pmilos/moments.pdf) which I am in fact interested about. In principle, I could calculate higher momements using some recursive formula but its gets too complicated (even for mathematica).