A022254 Gaussian binomial coefficients [ n,3 ] for q = 9.

1, 820, 605242, 441826660, 322140667123, 234844517989720, 171201975319325044, 124806266065883690200, 90983770072735012966405, 66327168553990994916016300, 48352505889707776105242586606, 35248976794718684386485952344220

Offset

3,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 3..200

Formula

a(n) = Product_{i=1..3} (9^(n-i+1)-1)/(9^i-1), by definition. - Vincenzo Librandi, Aug 04 2016

Mathematica

Table[QBinomial[n, 3, 9], {n, 3, 20}] (* Vincenzo Librandi, Aug 04 2016 *)

Prog

(Sage) [gaussian_binomial(n, 3, 9) for n in range(3, 15)] # Zerinvary Lajos, May 27 2009
(Magma) r:=3; q:=9; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 04 2016

Crossrefs

Sequence in context: A038489 A210150 A230784 * A095964 A342064 A020368

Adjacent sequences: A022251 A022252 A022253 * A022255 A022256 A022257

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

Offset changed by Vincenzo Librandi, Aug 04 2016

Status

approved