A022213 Gaussian binomial coefficients [ n,6 ] for q = 5.

1, 19531, 317886556, 5007031143556, 78360229974772306, 1224770494838892134806, 19138263752352528498478556, 299039198587280398947721603556, 4672499438759279108929231093087931, 73007841108236063781239140920167306681

Offset

6,2

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 = 6..200

Formula

G.f.: x^6/((1-x)*(1-5*x)*(1-25*x)*(1-125*x)*(1-625*x)*(1-3125*x)*(1-15625*x)). - Vincenzo Librandi, Aug 10 2016

a(n) = Product_{i=1..6} (5^(n-i+1)-1)/(5^i-1), by definition. - Vincenzo Librandi, Aug 10 2016

Mathematica

Table[QBinomial[n, 6, 5], {n, 6, 20}] (* Vincenzo Librandi, Aug 10 2016 *)

Prog

(Sage) [gaussian_binomial(n, 6, 5) for n in range(6, 16)] # Zerinvary Lajos, May 27 2009
(Magma) r:=6; q:=5; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 10 2016
(PARI) r=6; q=5; for(n=r, 30, print1(prod(j=1, r, (1-q^(n-j+1))/(1-q^j)), ", ")) \\ G. C. Greubel, Jun 04 2018

Crossrefs

Sequence in context: A206274 A033869 A031801 * A093219 A184493 A339534

Adjacent sequences: A022210 A022211 A022212 * A022214 A022215 A022216

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Offset changed by Vincenzo Librandi, Aug 10 2016

Status

approved