A006114 Gaussian binomial coefficient [ 2n,n ] for q=5. (Formerly M4314)

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

Robert Israel, Table of n, a(n) for n = 0..36

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

Index entries related to Gaussian binomial coefficients

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

Adjacent sequences: A006111 A006112 A006113 * A006115 A006116 A006117

Keyword

nonn

Author

N. J. A. Sloane

Status

approved