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A022256 Gaussian binomial coefficients [ n,5 ] for q = 9. 1

%I #16 Sep 08 2022 08:44:46

%S 1,66430,3971657053,234844517989720,13869447829832637406,

%T 818990894351617238824300,48360684318187059842589436510,

%U 2855650645340126913932218722028600,168623318873839155489174680568370759015

%N Gaussian binomial coefficients [ n,5 ] 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="/A022256/b022256.txt">Table of n, a(n) for n = 5..200</a>

%F a(n) = Product_{i=1..5} (9^(n-i+1)-1)/(9^i-1), by definition. - _Vincenzo Librandi_, Aug 04 2016

%t QBinomial[Range[5,20],5,9] (* _Harvey P. Dale_, Dec 10 2014 *)

%t Table[QBinomial[n, 5, 9], {n, 5, 20}] (* _Vincenzo Librandi_, Aug 04 2016 *)

%o (Sage) [gaussian_binomial(n,5,9) for n in range(5,16)] # _Zerinvary Lajos_, May 27 2009

%o (Magma) r:=5; q:=9; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Aug 04 2016

%K nonn

%O 5,2

%A _N. J. A. Sloane_.

%E Offset changed by _Vincenzo Librandi_, Aug 04 2016

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Last modified April 21 10:39 EDT 2024. Contains 371852 sequences. (Running on oeis4.)