A186419 Binomial(2n,n)^4/(n+1)

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

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Formula

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

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A209821 A024110 A132099 * A371560 A007701 A101356

Adjacent sequences: A186416 A186417 A186418 * A186420 A186421 A186422

Keyword

easy,nonn

Author

Emanuele Munarini, Feb 21 2011

Status

approved