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 A015321 Gaussian binomial coefficient [ n,5 ] for q = -13. 14
 1, -344772, 128773405047, -47790911017216080, 17745052029585350965782, -6588595858168804130787130344, 2446300028783605805772822454177234, -908294062111964496034866469968025332240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 5,2 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 = 5..180 FORMULA a(n) = Product_{i=1..5} ((-13)^(n-i+1)-1)/((-13)^i-1). - M. F. Hasler, Nov 03 2012 MATHEMATICA Table[QBinomial[n, 5, -13], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *) PROG (Sage) [gaussian_binomial(n, 5, -13) for n in range(5, 13)] # Zerinvary Lajos, May 27 2009 (PARI) A015321(n, r=5, 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), A015337 (r=6), 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: A235668 A235664 A235429 * A205420 A230717 A350458 Adjacent sequences:  A015318 A015319 A015320 * A015322 A015323 A015324 KEYWORD sign,easy AUTHOR Olivier Gérard, Dec 11 1999 STATUS approved

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Last modified May 20 01:04 EDT 2022. Contains 353847 sequences. (Running on oeis4.)