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A006098 Gaussian binomial coefficient [ 2n,n ] for q=2.
(Formerly M3138)
2
1, 3, 35, 1395, 200787, 109221651, 230674393235, 1919209135381395, 63379954960524853651, 8339787869494479328087443, 4380990637147598617372537398675 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

J. Goldman and G.-C. Rota, The number of subspaces of a vector space, pp. 75-83 of W. T. Tutte, editor, Recent Progress in Combinatorics. Academic Press, NY, 1969.

I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p, 99.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.

LINKS

T. D. Noe, Table of n, a(n) for n=0..35

PROG

(Other) sage: [gaussian_binomial(2*n, n, 2) for n in xrange(0, 11)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2009]

CROSSREFS

Sequence in context: A012767 A136525 A136556 * A012499 A125530 A068726

Adjacent sequences:  A006095 A006096 A006097 * A006099 A006100 A006101

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 09:18 EST 2012. Contains 205614 sequences.