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#17 by Charles R Greathouse IV at Thu Sep 08 08:44:39 EDT 2022
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(MAGMAMagma) r:=11; q:=-2; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // Vincenzo Librandi, Nov 05 2012
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Discussion
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| Thu Sep 08
| 08:44
| OEIS Server: https://oeis.org/edit/global/2944
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#16 by N. J. A. Sloane at Sat Dec 07 12:18:19 EST 2019
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(Sage) [gaussian_binomial(n, 11, -2) for n in xrangerange(11, 21)] # Zerinvary Lajos, May 28 2009
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Discussion
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| Sat Dec 07
| 12:18
| OEIS Server: https://oeis.org/edit/global/2837
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#15 by Bruno Berselli at Fri Feb 02 02:34:11 EST 2018
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#14 by Michel Marcus at Fri Feb 02 02:00:22 EST 2018
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#13 by Jon E. Schoenfield at Thu Feb 01 22:39:29 EST 2018
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#12 by Jon E. Schoenfield at Thu Feb 01 22:39:26 EST 2018
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I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p, . 99.
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a(n) = product(((-Product_{i=1..11} ((-2)^(n-i+1)-1)/((-2)^i-1), i=1..11). - Vincenzo Librandi, Nov 05 2012
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(Sage) [gaussian_binomial(n, 11, -2) for n in xrange(11, 21)] # - _)] # _Zerinvary Lajos_, May 28 2009
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approved
editing
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#11 by N. J. A. Sloane at Wed Oct 09 02:22:08 EDT 2013
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(Sage) [gaussian_binomial(n, 11, -2) for n in xrange(11, 21)] # - )] # - _Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), _, May 28 2009
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Discussion
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| Wed Oct 09
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| OEIS Server: https://oeis.org/edit/global/1991
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#10 by M. F. Hasler at Mon Nov 05 19:50:55 EST 2012
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#9 by M. F. Hasler at Mon Nov 05 19:50:48 EST 2012
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| LINKS
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<a href="/index/Ga#Gaussian_binomial_coefficients">Index entries related to Gaussian binomial coefficients</a>.
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a(n) = product(((-2)^(n-i+1)-1)/((-2)^i-1), i=1..11) (by definition).- _). - _Vincenzo Librandi_, Nov 05 2012
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(Sage) [gaussian_binomial(n, 11, -2) for n in xrange(11, 21)] # [From )] # - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 28 2009]
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#8 by Vincenzo Librandi at Mon Nov 05 15:45:51 EST 2012
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Vincenzo Librandi, <a href="/A015405/b015405.txt">Table of n, a(n) for n = 11..200</a>
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| FORMULA
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a(n) = product(((-2)^(n-i+1)-1)/((-2)^i-1), i=1..11) (by definition).- Vincenzo Librandi, Nov 05 2012
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Table[QBinomial[n, 11, -2], {n, 11, 20}] (* Vincenzo Librandi, Nov 05 2012 *)
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(MAGMA) r:=11; q:=-2; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // Vincenzo Librandi, Nov 05 2012
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