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C((n+1)*2^(n-1),n)/(n+1).
2

%I #9 Sep 08 2022 08:45:32

%S 1,1,5,140,18278,10187344,23427955408,219523230207424,

%T 8342151047514210800,1283165334094645437430016,

%U 797992395974041544979314144000,2004526711813925600335978883389492224,20319947544434703948516669537695298775460352

%N C((n+1)*2^(n-1),n)/(n+1).

%F a(n) = A136463(n)/(n+1).

%p A136464:=n->binomial((n+1)*2^(n-1),n)/(n+1): seq(A136464(n), n=0..15); # _Wesley Ivan Hurt_, Nov 19 2014

%t Table[Binomial[(n + 1)*2^(n - 1), n]/(n + 1), {n, 0, 15}] (* _Wesley Ivan Hurt_, Nov 19 2014 *)

%o (PARI) a(n)=binomial((n+1)*2^(n-1),n)/(n+1)

%o (Magma) [1] cat [(Binomial((n+1)*2^(n-1), n))/(n+1): n in [1..15]]; // _Vincenzo Librandi_, Nov 20 2014

%Y Cf. A136463, A136462.

%K nonn,easy

%O 0,3

%A _Paul D. Hanna_, Dec 31 2007

%E a(12) from _Vincenzo Librandi_, Nov 20 2014