A022251 Gaussian binomial coefficients [ n,11 ] for q = 8.

1, 9817068105, 85666512159498155145, 737309794366817196670904616585, 6334989535956426629319904274460839466633, 54418806485048320298126020637699477339315297310345, 467455771483523568551302853258472608792870981791648312186505

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} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 04 2016

Mathematica

Table[QBinomial[n, 11, 8], {n, 11, 20}] (* Vincenzo Librandi, Aug 04 2016 *)

Prog

(Sage) [gaussian_binomial(n, 11, 8) for n in range(11, 18)] # Zerinvary Lajos, May 28 2009
(Magma) r:=11; q:=8; [&*[(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: A354716 A256622 A359344 * A015385 A027570 A202362

Adjacent sequences: A022248 A022249 A022250 * A022252 A022253 A022254

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

Offset changed by Vincenzo Librandi, Aug 04 2016

Status

approved