A186419 a(n) = binomial(2*n,n)^4/(n + 1).

1, 8, 432, 40000, 4802000, 672126336, 104133351168, 17341997916672, 3048398071290000, 558804401233936000, 105925743088302215936, 20636658594095770856448, 4113235881503101575668992, 835806107659613266400000000, 172665358079973774114240000000

Offset: 0

Author

Emanuele Munarini, Feb 21 2011

Keywords

• easy
• nonn

Crossrefs

Cf. A000108, A002894, A000888, A002897, A186414, A186415, A186416, A186418.

Programs

Mathematica

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

Maxima

makelist(binomial(2*n,n)^4/(n+1),n,0,12);

Formula

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