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A015425 Gaussian binomial coefficient [ n,12 ] for q=-4. 3
1, 13421773, 240191982810781, 3967756584209486471005, 66828959857649638516515454045, 1120110037194182450025632158559979613, 18796917128597217472986991275660647159371869 (list; graph; refs; listen; history; text; internal format)
OFFSET

12,2

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 = 12..150

FORMULA

a(n) = Product_{i=1..12} ((-4)^(n-i+1)-1)/((-4)^i-1) (by definition). - Vincenzo Librandi, Nov 06 2012

MATHEMATICA

Table[QBinomial[n, 12, -4], {n, 12, 20}] (* Vincenzo Librandi, Nov 06 2012 *)

PROG

(Sage) [gaussian_binomial(n, 12, -4) for n in range(12, 19)] # Zerinvary Lajos, May 28 2009

(MAGMA) r:=12; q:=-4; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // Vincenzo Librandi, Nov 06 2012

CROSSREFS

Sequence in context: A330678 A250831 A184772 * A352329 A353025 A345609

Adjacent sequences:  A015422 A015423 A015424 * A015426 A015427 A015428

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified May 24 04:32 EDT 2022. Contains 354005 sequences. (Running on oeis4.)