A015321 - OEIS

A015321

Gaussian binomial coefficient [ n,5 ] for q = -13.

1, -344772, 128773405047, -47790911017216080, 17745052029585350965782, -6588595858168804130787130344, 2446300028783605805772822454177234, -908294062111964496034866469968025332240

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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

Index entries related to Gaussian binomial coefficients.

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