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 A063210 #29 Aug 22 2019 12:18:12 %S A063210 1,2,6,6,10,10,14,14,18,18,22,22,26,26,30,30,34,34,38,38,42,42,46,46, %T A063210 50,50,54,54,58,58,62,62,66,66,70,70,74,74,78,78,82,82,86,86,90,90,94, %U A063210 94,98,98 %N A063210 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 42 ). %C A063210 Equals triangle A153860 * [1,2,3,...]. - _Gary W. Adamson_, Jan 03 2009 %H A063210 William A. Stein, <a href="http://wstein.org/Tables/dimskg0new.gp">Dimensions of the spaces S_k^{new}(Gamma_0(N))</a> %H A063210 William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a> %H A063210 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1). %F A063210 a(n) = (n^2 - n)/floor(n/2) for n >=2. (Excludes leading 1.) - _William A. Tedeschi_, Mar 20 2008 %F A063210 Except for the first term, a(n) = 4*(n-1) - a(n-1), (with a(2)=2). - _Vincenzo Librandi_, Dec 07 2010 %F A063210 From _Colin Barker_, Sep 08 2013: (Start) %F A063210 a(n) = a(n-1) + a(n-2) - a(n-3) for n > 4. %F A063210 G.f.: -x*(x^3-3*x^2-x-1) / ((x-1)^2*(x+1)). (End) %t A063210 With[{c=Range[6,102,4]},Join[{1,2},Riffle[c,c]]] (* or *) LinearRecurrence[ {1,1,-1},{1,2,6,6,10},50] (* _Harvey P. Dale_, Jun 22 2019 *) %o A063210 (PARI) Vec(-x*(x^3-3*x^2-x-1)/((x-1)^2*(x+1)) + O(x^100)) \\ _Colin Barker_, Sep 08 2013 %Y A063210 Cf. A153860. - _Gary W. Adamson_, Jan 03 2009 %K A063210 nonn,easy %O A063210 1,2 %A A063210 _N. J. A. Sloane_, Jul 10 2001