Geodesic
A Common Generalization of Binomial Coefficients, Stirling Numbers and Gaussian Coefficients
Séminaire lotharingien de combinatoire, Tome 07 (1983) 
Bernd Voigt. A Common Generalization of Binomial Coefficients, Stirling Numbers and Gaussian Coefficients. Séminaire lotharingien de combinatoire, Tome 07 (1983). http://geodesic.mathdoc.fr/item/SLC_1983_07_a6/
@article{SLC_1983_07_a6,
     author = {Bernd Voigt},
     title = {A {Common} {Generalization} of {Binomial} {Coefficients,} {Stirling} {Numbers} and {Gaussian} {Coefficients}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1983},
     volume = {07},
     url = {http://geodesic.mathdoc.fr/item/SLC_1983_07_a6/}
}
TY  - JOUR
AU  - Bernd Voigt
TI  - A Common Generalization of Binomial Coefficients, Stirling Numbers and Gaussian Coefficients
JO  - Séminaire lotharingien de combinatoire
PY  - 1983
VL  - 07
UR  - http://geodesic.mathdoc.fr/item/SLC_1983_07_a6/
ID  - SLC_1983_07_a6
ER  - 
%0 Journal Article
%A Bernd Voigt
%T A Common Generalization of Binomial Coefficients, Stirling Numbers and Gaussian Coefficients
%J Séminaire lotharingien de combinatoire
%D 1983
%V 07
%U http://geodesic.mathdoc.fr/item/SLC_1983_07_a6/
%F SLC_1983_07_a6

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We present a multi-parametric sequence of numbers of words that covers as special cases binomial coefficients, Stirling numbers of the second kind, Gaussian binomial coefficients, the number of afflne k-dimensional subspaces in the n-dimensional affine space over GF(q), and the number of Boolean sublattices in a given Boolean lattice.