login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A015293
Gaussian binomial coefficient [ n,4 ] for q = -7.
2
1, 2101, 5149551, 12328144851, 29612203932102, 71094673339606302, 170699761008128301202, 409849628721453245181802, 984049129188697468764456303, 2362701900656492615160524472603, 5672847283550509352791825564114953, 13620506320919298149305087013514770853
OFFSET
4,2
REFERENCES
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.
LINKS
Index entries for linear recurrences with constant coefficients, signature (2101, 735350, -36032150, -247180549, 282475249).
MATHEMATICA
QBinomial[Range[4, 17], 4, -7] (* Harvey P. Dale, Sep 24 2011 *)
Table[QBinomial[n, 4, -7], {n, 4, 20}] (* Vincenzo Librandi, Oct 28 2012 *)
PROG
(Sage) [gaussian_binomial(n, 4, -7) for n in range(4, 14)] # Zerinvary Lajos, May 27 2009
(Magma) r:=4; q:=-7; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 02 2016
CROSSREFS
Sequence in context: A102504 A270761 A332643 * A159812 A233729 A272770
KEYWORD
nonn,easy
AUTHOR
Olivier Gérard, Dec 11 1999
EXTENSIONS
More terms from Harvey P. Dale, Sep 24 2011
STATUS
approved