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A022246 Gaussian binomial coefficients [ n,6 ] for q = 8. 1

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

%S 1,299593,79783113865,20955593338439305,5494724540479236953737,

%T 1440453028909548546592331401,377607559263493603746446715115145,

%U 98987603216356624971042374274625033865,25949007804224083420097621839124559742097033

%N Gaussian binomial coefficients [ n,6 ] 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="/A022246/b022246.txt">Table of n, a(n) for n = 6..190</a>

%F a(n) = Product_{i=1..6} (8^(n-i+1)-1)/(8^i-1), by definition. - _Vincenzo Librandi_, Aug 05 2016

%t Table[QBinomial[n, 6, 8], {n, 6, 20}] (* _Vincenzo Librandi_, Aug 05 2016 *)

%o (Sage) [gaussian_binomial(n,6,8) for n in range(6,15)] # _Zerinvary Lajos_, May 27 2009

%o (Magma) r:=6; 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 6,2

%A _N. J. A. Sloane_.

%E Offset changed by _Vincenzo Librandi_, Aug 05 2016

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Last modified March 3 10:19 EST 2024. Contains 370510 sequences. (Running on oeis4.)