A186418 a(n) = binomial(2*n,n)^4/(n + 1)^2.

1, 4, 144, 10000, 960400, 112021056, 14876193024, 2167749739584, 338710896810000, 55880440123393600, 9629613008027474176, 1719721549507980904704, 316402760115623198128384, 59700436261400947600000000

Offset: 0

Author

Emanuele Munarini, Feb 21 2011

Keywords

• easy
• nonn

Crossrefs

Cf. A000108, A002894, A000888, A002897, A186414, A186415, A186416.

Programs

Mathematica

Table[Binomial[2n,n]^4/(n+1)^2,{n,0,40}]

Maxima

makelist(binomial(2*n,n)^4/(n+1)^2,n,0,40);

Formula

G.f.: 4F3({1/2,1/2,1/2,1/2},{1,2,2},256x), where 4F3 is a hypergeometric series.