A022245 Gaussian binomial coefficients [ n,5 ] for q = 8.

1, 37449, 1246606473, 40928737412745, 1341480367403783817, 43958970159454591899273, 1440453028909548546592331401, 47200787357710533846587480462985, 1546675492323688689677277254864590473, 50681462910057431534320730090844329858697

Offset

5,2

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 = 5..200

Formula

a(n) = Product_{i=1..5} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 05 2016

Mathematica

Table[QBinomial[n, 5, 8], {n, 5, 20}] (* Vincenzo Librandi, Aug 05 2016 *)

Prog

(Sage) [gaussian_binomial(n, 5, 8) for n in range(5, 15)] # Zerinvary Lajos, May 27 2009
(Magma) r:=5; 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: A151840 A250369 A215993 * A236744 A165284 A235298

Adjacent sequences: A022242 A022243 A022244 * A022246 A022247 A022248

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

Offset changed by Vincenzo Librandi, Aug 05 2016

Status

approved