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A006098 Gaussian binomial coefficient [ 2n,n ] for q=2.
(Formerly M3138)
+0
2
1, 3, 35, 1395, 200787, 109221651, 230674393235, 1919209135381395, 63379954960524853651, 8339787869494479328087443, 4380990637147598617372537398675 (list; graph; listen)
OFFSET

0,2

REFERENCES

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

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.

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

LINKS

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

PROGRAM

(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 this_sequence A012499 A125530 A068726

Adjacent sequences: A006095 A006096 A006097 this_sequence A006099 A006100 A006101

KEYWORD

nonn

AUTHOR

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

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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