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#25 by Charles R Greathouse IV at Thu Sep 08 08:44:39 EDT 2022
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(MAGMAMagma) r:=8; q:=-7; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..18]]; // Vincenzo Librandi, Nov 03 2012
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Discussion
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| Thu Sep 08
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| OEIS Server: https://oeis.org/edit/global/2944
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#24 by N. J. A. Sloane at Sat Dec 07 12:18:19 EST 2019
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(Sage) [gaussian_binomial(n, 8, -7) for n in xrangerange(8, 15)] # Zerinvary Lajos, May 25 2009
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Discussion
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| Sat Dec 07
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| OEIS Server: https://oeis.org/edit/global/2837
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#23 by Jon E. Schoenfield at Thu Feb 01 22:56:14 EST 2018
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#22 by Jon E. Schoenfield at Thu Feb 01 22:56:10 EST 2018
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I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p, . 99.
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approved
editing
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#21 by Joerg Arndt at Mon Jan 29 02:51:20 EST 2018
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#20 by Jon E. Schoenfield at Mon Jan 29 00:24:08 EST 2018
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#19 by Jon E. Schoenfield at Mon Jan 29 00:24:05 EST 2018
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a(n)=product) = Product_{i=1..8} ((-7)^(n-i+1)-1)/((-7)^i-1). - ). - _M. F. Hasler, _, Nov 03 2012
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(Sage) [gaussian_binomial(n, 8, -7) for n in xrange(8, 15)] # [From _)] # _Zerinvary Lajos_, May 25 2009]
(PARI) A015363(n, r=8, q=-7)=prod(i=1, r, (q^(n-i+1)-1)/(q^i-1)) \\ - )) \\ _M. F. Hasler, _, Nov 03 2012
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| CROSSREFS
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Cf. Gaussian binomial coefficients [n,8] for q=-2,...,-..-13: A015356, A015357, A015359, A015360, A015361, A015364, A015365, A015367, A015368, A015369, A015370. - . - _M. F. Hasler, _, Nov 03 2012
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approved
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#18 by Charles R Greathouse IV at Thu Nov 21 12:46:04 EST 2013
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QBinomial[Range[8, 20], 8, -7] (* From ] (* _Harvey P. Dale, _, May 09 2012 *)
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Discussion
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| Thu Nov 21
| 12:46
| OEIS Server: https://oeis.org/edit/global/2062
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#17 by N. J. A. Sloane at Wed Oct 09 02:22:07 EDT 2013
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(Sage) [gaussian_binomial(n, 8, -7) for n in xrange(8, 15)] # [From _Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), _, May 25 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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#16 by M. F. Hasler at Sat Nov 03 21:02:22 EDT 2012
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