This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A015390 #23 Sep 08 2022 08:44:39 %S A015390 1,838861,938250090141,968690748238618461,1019729183363623510391901, %T A015390 1068220365220113899181567068253, %U A015390 1120383768613759382944995805859747933,1174735830441360695151745376566623493806173,1231818594183047090443637654682442929123639613533 %N A015390 Gaussian binomial coefficient [ n,10 ] for q=-4. %D A015390 J. Goldman and G.-C. Rota, The number of subspaces of a vector space, pp. 75-83 of W. T. Tutte, editor, Recent Progress in Combinatorics. Academic Press, NY, 1969. %D A015390 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99. %D A015390 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351. %H A015390 Vincenzo Librandi, <a href="/A015390/b015390.txt">Table of n, a(n) for n = 10..150</a> %F A015390 a(n) = Product_{i=1..10} ((-4)^(n-i+1)-1)/((-4)^i-1) (by definition). - _Vincenzo Librandi_, Nov 04 2012 %F A015390 G.f.: x^10 / ((x-1) * (4*x+1) * (16*x-1) * (64*x+1) * (256*x-1) * (1024*x+1) * (4096*x-1) * (16384*x+1) * (65536*x-1) * (262144*x+1) * (1048576*x-1)). - _Colin Barker_, Jan 13 2014 %t A015390 Table[QBinomial[n, 10, -4], {n, 10, 20}] (* _Vincenzo Librandi_, Nov 04 2012 *) %o A015390 (Sage) [gaussian_binomial(n,10,-4) for n in range(10,17)] # _Zerinvary Lajos_, May 25 2009 %o A015390 (Magma) r:=10; q:=-4; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // _Vincenzo Librandi_, Nov 04 2012 %Y A015390 Cf. Gaussian binomial coefficients [n, 10] for q = -2..-13: A015386, A015388, A015391, A015392, A015393, A015394, A015397, A015398, A015399, A015401, A015402. - _Vincenzo Librandi_, Nov 04 2012 %K A015390 nonn,easy %O A015390 10,2 %A A015390 _Olivier Gérard_