A022255 Gaussian binomial coefficients [ n,4 ] for q = 9.

1, 7381, 49031983, 322140667123, 2113887057661126, 13869447829832637406, 90997618413507253345810, 597035499217287155085549610, 3917150001348391097251303957615, 25700421225173962543056800181928315, 168620463706718874134703442098874261321

Offset

4,2

References

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 698.

Links

Vincenzo Librandi, Table of n, a(n) for n = 4..200

Formula

a(n) = Product_{i=1..4} (9^(n-i+1)-1)/(9^i-1), by definition. - Vincenzo Librandi, Aug 04 2016

Mathematica

Table[QBinomial[n, 4, 9], {n, 4, 20}] (* Vincenzo Librandi, Aug 04 2016 *)

Prog

(Sage) [gaussian_binomial(n, 4, 9) for n in range(4, 15)] # Zerinvary Lajos, May 27 2009
(Magma) r:=4; 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: A043824 A277286 A328663 * A189504 A028540 A347164

Adjacent sequences: A022252 A022253 A022254 * A022256 A022257 A022258

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

Offset changed by Vincenzo Librandi, Aug 04 2016

Status

approved