%I A006102 M5384
%S A006102 1,121,11011,925771,75913222,6174066262,500777836042,40581331447162,3287582741506063,
%T A006102 266307564861468823,21571273555248777493,1747282899667791058573,141530177899268957392924,
%U A006102 11463951511551877750726204,928580264181940191843785764,75215006575885931519565302404
%N A006102 Gaussian binomial coefficient [ n,4 ] for q=3.
%D A006102 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006102 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 A006102 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 
               1983, p, 99.
%D A006102 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
%H A006102 T. D. Noe, <a href="b006102.txt">Table of n, a(n) for n=4..100</a>
%H A006102 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A006102 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%p A006102 A006102:=-1/((z-1)*(81*z-1)*(3*z-1)*(9*z-1)*(27*z-1)); [Conjectured (correctly) 
               by S. Plouffe in his 1992 dissertation.]
%o A006102 (Other) sage: [gaussian_binomial(n,4,3) for n in xrange(4,20)]# [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2009]
%Y A006102 Sequence in context: A011814 A144766 A058412 this_sequence A036508 A054319 
               A006061
%Y A006102 Adjacent sequences: A006099 A006100 A006101 this_sequence A006103 A006104 
               A006105
%K A006102 nonn
%O A006102 4,2
%A A006102 N. J. A. Sloane (njas(AT)research.att.com).