A186416 a(n) = binomial(2n,n)^4/(n+1)^3.

1, 2, 48, 2500, 192080, 18670176, 2125170432, 270968717448, 37634544090000, 5588044012339360, 875419364366134016, 143310129125665075392, 24338673855047938317568, 4264316875814353400000000, 767401591466550107174400000, 141345980472409642279275210000, 26569505644587874058090478570000

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

G.f.: 4F3(1/2,1/2,1/2,1/2;2,2,2;256*x), where nFm(...;..;.) denotes a generalized hypergeometric series.

a(n) = (A000108(n))^3*A000984(n). - R. J. Mathar, Feb 23 2011

Maple

A186416 := proc(n) binomial(2*n, n)^4/(n+1)^3 ; end proc: # R. J. Mathar, Feb 23 2011

Mathematica

Table[Binomial[2n, n]^4/(n+1)^3, {n, 0, 40}]

Prog

(Maxima) makelist(binomial(2*n, n)^4/(n+1)^3, n, 0, 40);

Crossrefs

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

Sequence in context: A367254 A177317 A114714 * A210723 A346454 A322750

Adjacent sequences: A186413 A186414 A186415 * A186417 A186418 A186419

Keyword

easy,nonn

Author

Emanuele Munarini, Feb 21 2011

Status

approved