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 A022261 Gaussian binomial coefficients [ n,10 ] for q = 9. 1

%I #15 Sep 08 2022 08:44:46

%S 1,3922632451,13848340811466703906,48352505889707776105242586606,

%T 168620463706718874134703442098874261321,

%U 587953159580355890974683988909617412559591458771,2050069762911386221695293524269464063566943065726695501256

%N Gaussian binomial coefficients [ n,10 ] for q = 9.

%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="/A022261/b022261.txt">Table of n, a(n) for n = 10..110</a>

%F a(n) = Product_{i=1..10} (9^(n-i+1)-1)/(9^i-1), by definition. - _Vincenzo Librandi_, Aug 05 2016

%t Table[QBinomial[n, 10, 9], {n, 10, 20}] (* _Vincenzo Librandi_, Aug 05 2016 *)

%o (Sage) [gaussian_binomial(n,10,9) for n in range(10,17)] # _Zerinvary Lajos_, May 27 2009

%o (Magma) r:=10; q:=9; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Aug 05 2016

%K nonn

%O 10,2

%A _N. J. A. Sloane_.

%E Offset changed by _Vincenzo Librandi_, Aug 05 2016

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