

A015316


Gaussian binomial coefficient [ n,5 ] for q = 10.


4




OFFSET

5,2


REFERENCES

J. Goldman and G.C. Rota, The number of subspaces of a vector space, pp. 7583 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), 325351.


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 5..200
Index entries for linear recurrences with constant coefficients, signature (90909,918281910,917272809000,91828191000000,909090000000000,1000000000000000).


FORMULA

G.f.: x^5 / ( (x1)*(10*x+1)*(1000*x+1)*(100*x1)*(10000*x1)*(100000*x+1) ).  R. J. Mathar, Aug 04 2016


MATHEMATICA

Table[QBinomial[n, 5, 10], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *)


PROG

(Sage) [gaussian_binomial(n, 5, 10) for n in range(5, 13)] # Zerinvary Lajos, May 27 2009


CROSSREFS

Sequence in context: A179732 A131353 A183677 * A212853 A127660 A127659
Adjacent sequences: A015313 A015314 A015315 * A015317 A015318 A015319


KEYWORD

sign,easy


AUTHOR

Olivier Gérard, Dec 11 1999


STATUS

approved



