A022247 Gaussian binomial coefficients [ n,7 ] for q = 8.

1, 2396745, 5106121684105, 10729268895402608265, 22506402447071849965115017, 47200787357710533846587480462985, 98987603216356624971042374274625033865, 207592149047991945127896428337152713645086345, 435352316509302207932941670577738326850779860686473

Offset

7,2

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 = 7..160

Formula

a(n) = Product_{i=1..7} (8^(n-i+1)-1)/(8^i-1), by definition. - Vincenzo Librandi, Aug 06 2016

G.f.: x^7/((1 - x)*(1 - 8*x)*(1 - 64*x)*(1 - 512*x)*(1 - 4096*x)*(1 - 32768*x)*(1 - 262144*x)*(1 - 2097152*x)). - Ilya Gutkovskiy, Aug 06 2016

Mathematica

Table[QBinomial[n, 7, 8], {n, 7, 20}] (* Vincenzo Librandi, Aug 06 2016 *)

Prog

(Sage) [gaussian_binomial(n, 7, 8) for n in range(7, 16)] # Zerinvary Lajos, May 27 2009
(Magma) r:=7; 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: A232413 A167890 A184496 * A198781 A104941 A251805

Adjacent sequences: A022244 A022245 A022246 * A022248 A022249 A022250

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

Offset changed by Vincenzo Librandi, Aug 06 2016

Status

approved