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 A027967 #14 Oct 21 2022 21:40:00 %S A027967 3,7,18,44,98,199,373,654,1085,1719,2620,3864,5540,7751,10615,14266, %T A027967 18855,24551,31542,40036,50262,62471,76937,93958,113857,136983,163712, %U A027967 194448,229624,269703,315179,366578,424459,489415,562074,643100,733194,833095,943581,1065470,1199621 %N A027967 T(n, 2*n-5), T given by A027960. %H A027967 G. C. Greubel, <a href="/A027967/b027967.txt">Table of n, a(n) for n = 3..1000</a> %H A027967 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1). %F A027967 From _Ralf Stephan_, Feb 07 2004: (Start) %F A027967 G.f.: x^3*(3-2*x)*(1-3*x+5*x^2-3*x^3+x^4)/(1-x)^6. %F A027967 Differences of A027968. (End) %F A027967 From _G. C. Greubel_, Jun 30 2019: (Start) %F A027967 a(n) = (840 - 736*n + 300*n^2 - 45*n^3 + n^5)/120. %F A027967 E.g.f.: (-120*(7 + 3*x + x^2) + (840 - 480*x + 180*x^2 - 20*x^3 + 10*x^4 + x^5)*exp(x))/120. (End) %t A027967 LinearRecurrence[{6,-15,20,-15,6,-1}, {3,7,18,44,98,199}, 50] (* _G. C. Greubel_, Jun 30 2019 *) %o A027967 (PARI) for(n=3,50, print1((840-736*n+300*n^2-45*n^3+n^5)/120, ", ")) \\ _G. C. Greubel_, Jun 30 2019 %o A027967 (Magma) [(840-736*n+300*n^2-45*n^3+n^5)/120: n in [3..50]]; // _G. C. Greubel_, Jun 30 2019 %o A027967 (Sage) [(840-736*n+300*n^2-45*n^3+n^5)/120 for n in (3..50)] # _G. C. Greubel_, Jun 30 2019 %o A027967 (GAP) List([3..50], n-> (840-736*n+300*n^2-45*n^3+n^5)/120) _G. C. Greubel_, Jun 30 2019 %Y A027967 A column of triangle A027011. %K A027967 nonn,easy %O A027967 3,1 %A A027967 _Clark Kimberling_ %E A027967 Terms a(37) onward added by _G. C. Greubel_, Jun 30 2019