A006104 Gaussian binomial coefficient [ n,n/2 ] for q=3. (Formerly M3472)

1, 1, 4, 13, 130, 1210, 33880, 925771, 75913222, 6174066262, 1506472167928, 366573514642546, 267598665689058580, 195168545232713290660, 427028776969176679964080, 934054234760012359481199283, 6129263888495201102915629695046

Offset

0,3

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..50

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

Mathematica

Table[QBinomial[n, Floor[n/2], 3], {n, 0, 20}] (* Harvey P. Dale, Nov 11 2011 *)

Crossrefs

Sequence in context: A121813 A197897 A203380 * A067634 A203215 A198159

Adjacent sequences: A006101 A006102 A006103 * A006105 A006106 A006107

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Harvey P. Dale, Nov 11 2011

Status

approved