A022249 Gaussian binomial coefficients [ n,9 ] for q = 8.

1, 153391689, 20914675798619273, 2812613653548502301460105, 377594800550975709003441429239433, 50681462910057431534320730090844329858697

Offset

9,2

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 = 9..130

Formula

a(n) = Product_{i=1..9} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 06 2016

G.f.: x^9/((1 - x)*(1 - 8*x)*(1 - 64*x)*(1 - 512*x)*(1 - 4096*x)*(1 - 32768*x)*(1 - 262144*x)*(1 - 2097152*x)*(1 - 16777216*x)*(1 - 134217728*x)). - Ilya Gutkovskiy, Aug 06 2016

Mathematica

QBinomial[Range[9, 20], 9, 8] (* Harvey P. Dale, Dec 12 2011 *)

Prog

(Sage) [gaussian_binomial(n, 9, 8) for n in range(9, 15)] # Zerinvary Lajos, May 25 2009
(Magma) r:=9; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 06 2016

Crossrefs

Sequence in context: A151696 A221555 A212941 * A204605 A289248 A251489

Adjacent sequences: A022246 A022247 A022248 * A022250 A022251 A022252

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

Offset changed by Vincenzo Librandi, Aug 06 2016

Status

approved