A022256 Gaussian binomial coefficients [ n,5 ] for q = 9.

1, 66430, 3971657053, 234844517989720, 13869447829832637406, 818990894351617238824300, 48360684318187059842589436510, 2855650645340126913932218722028600, 168623318873839155489174680568370759015

Offset

5,2

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 = 5..200

Formula

a(n) = Product_{i=1..5} (9^(n-i+1)-1)/(9^i-1), by definition. - Vincenzo Librandi, Aug 04 2016

Mathematica

QBinomial[Range[5, 20], 5, 9] (* Harvey P. Dale, Dec 10 2014 *)
Table[QBinomial[n, 5, 9], {n, 5, 20}] (* Vincenzo Librandi, Aug 04 2016 *)

Prog

(Sage) [gaussian_binomial(n, 5, 9) for n in range(5, 16)] # Zerinvary Lajos, May 27 2009
(Magma) r:=5; 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: A174757 A164129 A043591 * A237925 A374953 A251057

Adjacent sequences: A022253 A022254 A022255 * A022257 A022258 A022259

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

Offset changed by Vincenzo Librandi, Aug 04 2016

Status

approved