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

0,2

Links

Table of n, a(n) for n=0..13.

Formula

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

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A060870 A268894 A084703 * A122747 A069135 A186081

Adjacent sequences: A186415 A186416 A186417 * A186419 A186420 A186421

Keyword

easy,nonn

Author

Emanuele Munarini, Feb 21 2011

Status

approved