A015337 Gaussian binomial coefficient [ n,6 ] for q = -13.

1, 4482037, 21762709934980, 104996653267533662740, 506816536013640476467362442, 2446300028783605805772822454177234, 11807825441932996339362317150047214843540

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..100

Index entries related to Gaussian binomial coefficients.

Formula

a(n) = Product_{i=1..6} ((-13)^(n-i+1)-1)/((-13)^i-1). - M. F. Hasler, Nov 03 2012

Mathematica

Table[QBinomial[n, 6, -13], {n, 6, 10}] (* Vincenzo Librandi, Oct 29 2012 *)

Prog

(Sage) [gaussian_binomial(n, 6, -13) for n in range(6, 13)] # Zerinvary Lajos, May 27 2009
(PARI) A015337(n, r=6, q=-13)=prod(i=1, r, (q^(n-i+1)-1)/(q^i-1)) \\ M. F. Hasler, Nov 03 2012

Crossrefs

Cf. Gaussian binomial coefficients [n,r] for q=-13: A015265 (r=2), A015286 (r=3), A015303 (r=4), A015321 (r=5), A015355 (r=7), A015370 (r=8), A015385 (r=9), A015402 (r=10), A015422 (r=11), A015438 (r=12). - M. F. Hasler, Nov 03 2012

Sequence in context: A244575 A105649 A350187 * A339536 A319064 A344831

Adjacent sequences: A015334 A015335 A015336 * A015338 A015339 A015340

Keyword

nonn,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved