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Gaussian binomial coefficient [ n,n/2 ] for q=4.
(Formerly M3917)
1

%I M3917 #17 Feb 01 2018 21:18:40

%S 1,1,5,21,357,5797,376805,24208613,6221613541,1594283908581,

%T 1634141006295525,1673768626404966885,6857430062381149327845,

%U 28089747579101385828291045,460250514083576206796548772325,7540859480106603961931048583270885

%N Gaussian binomial coefficient [ n,n/2 ] for q=4.

%D 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.

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

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

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

%H Vincenzo Librandi, <a href="/A006109/b006109.txt">Table of n, a(n) for n = 0..80</a>

%H M. Sved, <a href="/A006095/a006095.pdf">Gaussians and binomials</a>, Ars. Combinatoria, 17A (1984), 325-351. (Annotated scanned copy)

%t Table[QBinomial[n, Floor[n/2], 4], {n, 0, 20}] (* _Vincenzo Librandi_, Aug 13 2016 *)

%K nonn

%O 0,3

%A _N. J. A. Sloane_