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A015323 Gaussian binomial coefficient [ n,6 ] for q = -2. 3
1, 43, 3655, 208335, 14208447, 882215391, 57344000415, 3642010817055, 233988483199263, 14946527496991519, 957498220445101855, 61250446192484546335, 3920970870875818419999, 250911985465716094666527 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

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 = 6..200

Index entries for linear recurrences with constant coefficients, signature (43,1806,-26488,-211904,924672,1409024,-2097152).

FORMULA

A015323(n) = T[n,6] where T is the triangular array A015109. - M. F. Hasler, Nov 04 2012

G.f.: x^6 / ( (x-1)*(8*x+1)*(64*x-1)*(2*x+1)*(32*x+1)*(4*x-1)*(16*x-1) ). - R. J. Mathar, Aug 04 2016

MATHEMATICA

Table[QBinomial[n, 6, -2], {n, 6, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

PROG

(Sage) [gaussian_binomial(n, 6, -2) for n in xrange(6, 20)] # Zerinvary Lajos, May 27 2009

CROSSREFS

Diagonal k=6 of the triangular array A015109. See there for further references and programs. - M. F. Hasler, Nov 04 2012

Sequence in context: A130014 A246535 A265234 * A145315 A110704 A060485

Adjacent sequences:  A015320 A015321 A015322 * A015324 A015325 A015326

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard, Dec 11 1999

STATUS

approved

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Last modified March 21 20:18 EDT 2019. Contains 321382 sequences. (Running on oeis4.)