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A022243 Gaussian binomial coefficients [ n,3 ] for q = 8. 1

%I

%S 1,585,304265,156087945,79936505481,40928737412745,20955593338439305,

%T 10729268895402608265,5493386001237942388361,

%U 2812613653548502301460105,1440058191955372430686340745,737309794366817196670904616585

%N Gaussian binomial coefficients [ n,3 ] for q = 8.

%H Vincenzo Librandi, <a href="/A022243/b022243.txt">Table of n, a(n) for n = 3..200</a>

%F a(n) = Product_{i=1..3} (8^(n-i+1)-1)/(8^i-1), by definition. - _Vincenzo Librandi_, Aug 05 2016

%t Table[QBinomial[n, 3, 8], {n, 3, 20}] (* _Vincenzo Librandi_, Aug 05 2016 *)

%o (Sage) [gaussian_binomial(n,3,8) for n in xrange(3,15)] # _Zerinvary Lajos_, May 27 2009

%o (MAGMA) r:=3; 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 3,2

%A _N. J. A. Sloane_.

%E Offset changed by _Vincenzo Librandi_, Aug 05 2016

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Last modified April 18 16:41 EDT 2019. Contains 322209 sequences. (Running on oeis4.)