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A015418 Gaussian binomial coefficient [ n,11 ] for q=-11. 2
1, -261535698060, 75241013495730790109766, -21451022788016578429723510655178620, 6120645196266098901030880937026524413510456541, -1746280663134874755499501790878094901668461626016352027280 (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..90

FORMULA

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

MATHEMATICA

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

PROG

(Sage) [gaussian_binomial(n, 11, -11) for n in xrange(11, 16)] # Zerinvary Lajos, May 28 2009

(MAGMA) r:=11; q:=-11; [&*[(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: A034618 A226858 A216904 * A271366 A257659 A018869

Adjacent sequences:  A015415 A015416 A015417 * A015419 A015420 A015421

KEYWORD

sign,easy

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified March 24 11:34 EDT 2019. Contains 321448 sequences. (Running on oeis4.)