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A015293 Gaussian binomial coefficient [ n,4 ] for q = -7. 2
1, 2101, 5149551, 12328144851, 29612203932102, 71094673339606302, 170699761008128301202, 409849628721453245181802, 984049129188697468764456303, 2362701900656492615160524472603, 5672847283550509352791825564114953, 13620506320919298149305087013514770853 (list; graph; refs; listen; history; text; internal format)
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

Vincenzo Librandi, Table of n, a(n) for n = 4..300

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

Adjacent sequences:  A015290 A015291 A015292 * A015294 A015295 A015296

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard, Dec 11 1999

EXTENSIONS

More terms from Harvey P. Dale, Sep 24 2011

STATUS

approved

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Last modified November 27 06:10 EST 2021. Contains 349363 sequences. (Running on oeis4.)