A022244 Gaussian binomial coefficients [ n,4 ] for q = 8.

1, 4681, 19477641, 79936505481, 327499862955657, 1341480367403783817, 5494724540479236953737, 22506402447071849965115017, 92186229916592298695053497993, 377594800550975709003441429239433, 1546628304496854696033468524851058313

Offset

4,2

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 = 4..200

Formula

a(n) = Product_{i=1..4} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 05 2016

Mathematica

Table[QBinomial[n, 4, 8], {n, 4, 20}] (* Vincenzo Librandi, Aug 05 2016 *)

Prog

(SageMath) [gaussian_binomial(n, 4, 8) for n in range(4, 15)] # Zerinvary Lajos, May 27 2009
(Magma) r:=4; 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: A376253 A230487 A230483 * A252382 A190131 A226801

Adjacent sequences: A022241 A022242 A022243 * A022245 A022246 A022247

Keyword

nonn

Author

N. J. A. Sloane

Extensions

Offset changed by Vincenzo Librandi, Aug 05 2016

Status

approved