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 A015337 Gaussian binomial coefficient [ n,6 ] for q = -13. 12
 1, 4482037, 21762709934980, 104996653267533662740, 506816536013640476467362442, 2446300028783605805772822454177234, 11807825441932996339362317150047214843540 (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..100 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: A237910 A244575 A105649 * A319064 A183679 A234793 Adjacent sequences:  A015334 A015335 A015336 * A015338 A015339 A015340 KEYWORD nonn,easy AUTHOR Olivier Gérard, Dec 11 1999 STATUS approved

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Last modified November 29 05:53 EST 2020. Contains 338756 sequences. (Running on oeis4.)