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 A026057 #30 Sep 08 2022 08:44:49 %S A026057 0,-2,1,10,26,50,83,126,180,246,325,418,526,650,791,950,1128,1326, %T A026057 1545,1786,2050,2338,2651,2990,3356,3750,4173,4626,5110,5626,6175, %U A026057 6758,7376,8030,8721,9450,10218,11026,11875,12766,13700,14678,15701,16770,17886,19050 %N A026057 a(n) = n*(n^2 + 12*n - 25)/6. %C A026057 For n >= 4, this is dot_product(n,n-1,...2,1)*(4,5,...,n,1,2,3). %H A026057 Vincenzo Librandi, <a href="/A026057/b026057.txt">Table of n, a(n) for n = 0..1000</a> %H A026057 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A026057 G.f.: x*(-2 +9*x -6*x^2)/(1-x)^4. - _Colin Barker_, Sep 17 2012 %F A026057 E.g.f.: x*(-12 +15*x +x^2)*exp(x)/6. - _G. C. Greubel_, Oct 30 2019 %p A026057 seq(n*(n^2+12*n-25)/6, n=0..60); # _G. C. Greubel_, Oct 30 2019 %t A026057 CoefficientList[Series[x(-2 +9x -6x^2)/(1-x)^4, {x, 0, 60}], x] (* _Vincenzo Librandi_, Oct 17 2013 *) %t A026057 Table[n (n^2+12n-25)/6,{n,0,50}] (* or *) LinearRecurrence[{4,-6,4,-1},{0,-2,1,10},50] (* _Harvey P. Dale_, Jan 28 2020 *) %o A026057 (Magma) [n*(n^2+12*n-25)/6: n in [0..60]]; // _Vincenzo Librandi_, Oct 17 2013 %o A026057 (PARI) a(n)=n*(n^2+12*n-25)/6 \\ _Charles R Greathouse IV_, Oct 07 2015 %o A026057 (Sage) [n*(n^2+12*n-25)/6 for n in (0..60)] # _G. C. Greubel_, Oct 30 2019 %o A026057 (GAP) List([0..60], n-> n*(n^2+12*n-25)/6); # _G. C. Greubel_, Oct 30 2019 %Y A026057 Cf. column 3 of triangle A094415. %K A026057 sign,easy %O A026057 0,2 %A A026057 _Clark Kimberling_ %E A026057 New definition from _Ralf Stephan_, Apr 30 2004 %E A026057 Edited by _N. J. A. Sloane_, Dec 13 2008