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A006114
Gaussian binomial coefficient [ 2n,n ] for q=5.
(Formerly M4314)
1
1, 6, 806, 2558556, 200525284806, 391901483074853556, 19138263752352528498478556, 23362736428829868448189697999416056, 712977784594148279816735342927316866304884806, 543959438081999965602054955428186322207689611643379103556
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
M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351. (Annotated scanned copy)
MAPLE
with(QDifferenceEquations):
seq(eval(QSimpComb(QBinomial(2*n, n, q)), q=5), n=0..12); # Robert Israel, Feb 01 2018
MATHEMATICA
Table[QBinomial[2n, n, 5], {n, 0, 10}] (* Harvey P. Dale, Jun 10 2018 *)
CROSSREFS
Sequence in context: A364273 A020542 A045480 * A341554 A365511 A321426
KEYWORD
nonn
STATUS
approved