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A022245 Gaussian binomial coefficients [ n,5 ] for q = 8. 1

%I #14 Sep 08 2022 08:44:46

%S 1,37449,1246606473,40928737412745,1341480367403783817,

%T 43958970159454591899273,1440453028909548546592331401,

%U 47200787357710533846587480462985,1546675492323688689677277254864590473,50681462910057431534320730090844329858697

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

%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 698.

%H Vincenzo Librandi, <a href="/A022245/b022245.txt">Table of n, a(n) for n = 5..200</a>

%F a(n) = Product_{i=1..5} (8^(n-i+1)-1)/(8^i-1), by definition. - _Vincenzo Librandi_, Aug 05 2016

%t Table[QBinomial[n, 5, 8], {n, 5, 20}] (* _Vincenzo Librandi_, Aug 05 2016 *)

%o (Sage) [gaussian_binomial(n,5,8) for n in range(5,15)] # _Zerinvary Lajos_, May 27 2009

%o (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

%K nonn

%O 5,2

%A _N. J. A. Sloane_.

%E Offset changed by _Vincenzo Librandi_, Aug 05 2016

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)