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 A007010 M4851 #22 Feb 12 2023 16:16:00 %S A007010 1,12,81,372,1332,3984,10420,24540,53145,107436,205065,372792,649936, %T A007010 1092672,1779408,2817288,4350105,6567660,9716905,14114892,20163924, %U A007010 28368912,39357396,53902212,72947329,97636812,129347505,169725360,220726080,284659968,364241728 %N A007010 Number of 4-voter voting schemes with n linearly ranked choices. %D A007010 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A007010 Colin Barker, <a href="/A007010/b007010.txt">Table of n, a(n) for n = 1..1000</a> %H A007010 Daniel E. Loeb, <a href="http://www.labri.u-bordeaux.fr/~loeb/vote.html">On Games, Voting Schemes and Distributive Lattices</a>. LaBRI Report 625-93, University of Bordeaux I, 1993. [broken link] %H A007010 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (6,-12,2,27,-36,0,36,-27,-2,12,-6,1). %F A007010 G.f.: x*(1+6*x+21*x^2+28*x^3+21*x^4+6*x^5+x^6)/((1+x)^3*(1-x)^9). - _Ralf Stephan_, Apr 23 2004 %F A007010 From _Colin Barker_, Jan 07 2016: (Start) %F A007010 a(n) = (n^8+16*n^7+106*n^6+376*n^5+784*n^4+1024*n^3+864*n^2+384*n)/3840 for n even. %F A007010 a(n) = (n^8+16*n^7+106*n^6+376*n^5+784*n^4+1024*n^3+894*n^2+504*n+135)/3840 for n odd. %F A007010 (End) %t A007010 LinearRecurrence[{6,-12,2,27,-36,0,36,-27,-2,12,-6,1},{1,12,81,372,1332,3984,10420,24540,53145,107436,205065,372792},40] (* _Harvey P. Dale_, Feb 12 2023 *) %o A007010 (PARI) Vec(x*(1+6*x+21*x^2+28*x^3+21*x^4+6*x^5+x^6)/((1+x)^3*(1-x)^9) + O(x^100)) \\ _Colin Barker_, Jan 07 2016 %K A007010 nonn,easy %O A007010 1,2 %A A007010 _Daniel E. Loeb_