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A015294 Gaussian binomial coefficient [ n,4 ] for q = -8. 2
1, 3641, 15150201, 61934287481, 253744775809657, 1039306892330748537, 4257017266254230145657, 17436734410124346225937017, 71420868399845502303592335993, 292539874786707389459461268654713 (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
Index entries for linear recurrences with constant coefficients, signature (3641,1893320,-121172480,-954466304,1073741824).
FORMULA
G.f.: -x^4 / ( (x-1)*(4096*x-1)*(8*x+1)*(64*x-1)*(512*x+1) ). - R. J. Mathar, Aug 03 2016
MATHEMATICA
Table[QBinomial[n, 4, -8], {n, 4, 20}] (* Vincenzo Librandi, Oct 28 2012 *)
PROG
(Sage) [gaussian_binomial(n, 4, -8) for n in range(4, 14)] # Zerinvary Lajos, May 27 2009
(Magma) r:=4; q:=-8; [&*[(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: A253491 A253452 A253464 * A186870 A185613 A232837
KEYWORD
nonn,easy
AUTHOR
Olivier Gérard, Dec 11 1999
STATUS
approved

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)