A022246 Gaussian binomial coefficients [ n,6 ] for q = 8.

1, 299593, 79783113865, 20955593338439305, 5494724540479236953737, 1440453028909548546592331401, 377607559263493603746446715115145, 98987603216356624971042374274625033865, 25949007804224083420097621839124559742097033

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..190

Formula

a(n) = Product_{i=1..6} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 05 2016

Mathematica

Table[QBinomial[n, 6, 8], {n, 6, 20}] (* Vincenzo Librandi, Aug 05 2016 *)

Prog

(Sage) [gaussian_binomial(n, 6, 8) for n in range(6, 15)] # Zerinvary Lajos, May 27 2009
(Magma) r:=6; q:=8; [&*[(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: A254193 A254186 A253798 * A227700 A050257 A283209

Adjacent sequences: A022243 A022244 A022245 * A022247 A022248 A022249

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

Offset changed by Vincenzo Librandi, Aug 05 2016

Status

approved