3,2

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

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

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.

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

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

A006112:=1/(z-1)/(125*z-1)/(25*z-1)/(5*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]

(Other) sage: [gaussian_binomial(n, 3, 5) for n in xrange(3, 14)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 27 2009]

Sequence in context: A023903 A035838 A035824 this_sequence A028675 A090851 A045230

Adjacent sequences: A006109 A006110 A006111 this_sequence A006113 A006114 A006115

nonn

N. J. A. Sloane (njas(AT)research.att.com).