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A015414 Gaussian binomial coefficient [ n,11 ] for q=-9. 2
1, -28242953648, 897372484611991440598, -28121923404466184234811544425296, 882630281467161063728449241801432249226565, -27697404417453539188846019907159858548132165589760832, 869175534545800426775448129124238227336771807766117241522242296 (list; graph; refs; listen; history; text; internal format)
OFFSET

11,2

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 = 11..100

FORMULA

a(n) = Product_{i=1..11} ((-9)^(n-i+1)-1)/((-9)^i-1) (by definition). - Vincenzo Librandi, Nov 06 2012

MATHEMATICA

Table[QBinomial[n, 11, -9], {n, 11, 20}] (* Vincenzo Librandi, Nov 06 2012 *)

PROG

(Sage) [gaussian_binomial(n, 11, -9) for n in xrange(11, 17)] # Zerinvary Lajos, May 28 2009

(MAGMA) r:=11; q:=-9; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Nov 06 2012

CROSSREFS

Sequence in context: A017662 A120322 A324977 * A252839 A307760 A216017

Adjacent sequences:  A015411 A015412 A015413 * A015415 A015416 A015417

KEYWORD

sign,easy

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified October 21 20:44 EDT 2019. Contains 328315 sequences. (Running on oeis4.)