A022262 Gaussian binomial coefficients [ n,11 ] for q = 9.

1, 35303692060, 1121715605764106708446, 35248976794718684386485952344220, 1106318862415031509992507967997199980871301, 34718046121166753868579146371116506562228516029840080, 1089491124906108051165135239699867397777196296355089299912829976

Offset

11,2

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 = 11..100

Formula

a(n) = Product_{i=1..11} (9^(n-i+1)-1)/(9^i-1), by definition. - Vincenzo Librandi, Aug 05 2016

Mathematica

Table[QBinomial[n, 11, 9], {n, 11, 20}] (* Vincenzo Librandi, Aug 05 2016 *)

Prog

(Sage) [gaussian_binomial(n, 11, 9) for n in range(11, 18)] # Zerinvary Lajos, May 28 2009
(Magma) r:=11; q:=9; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 05 2016

Crossrefs

Sequence in context: A099600 A115498 A115502 * A233849 A370486 A116279

Adjacent sequences: A022259 A022260 A022261 * A022263 A022264 A022265

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

Offset changed by Vincenzo Librandi, Aug 05 2016

Status

approved