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 A259110 #17 Mar 05 2022 03:56:10 %S A259110 0,2,20,70,168,330,572,910,1360,1938,2660,3542,4600,5850,7308,8990, %T A259110 10912,13090,15540,18278,21320,24682,28380,32430,36848,41650,46852, %U A259110 52470,58520,65018,71980,79422,87360,95810,104788,114310,124392,135050,146300,158158,170640,183762,197540,211990,227128,242970 %N A259110 2*A000447(n). %H A259110 Colin Barker, <a href="/A259110/b259110.txt">Table of n, a(n) for n = 0..1000</a> %H A259110 J. L. Bailey, Jr., <a href="http://dx.doi.org/10.1214/aoms/1177732978">A table to facilitate the fitting of certain logistic curves</a>, Annals Math. Stat., 2 (1931), 355-359. %H A259110 J. L. Bailey, <a href="/A002309/a002309.pdf">A table to facilitate the fitting of certain logistic curves</a>, Annals Math. Stat., 2 (1931), 355-359. [Annotated scanned copy] %H A259110 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A259110 a(n) = (2*n*(4*n^2-1))/3. - _Colin Barker_, Jun 28 2015 %F A259110 G.f.: 2*x*(x^2+6*x+1) / (x-1)^4. - _Colin Barker_, Jun 28 2015 %F A259110 a(n) = 2*binomial(2*n+1, 3). - _Michel Marcus_, Mar 05 2022 %t A259110 LinearRecurrence[{4,-6,4,-1},{0,2,20,70},50] (* _Harvey P. Dale_, Feb 01 2018 *) %o A259110 (PARI) concat(0, Vec(2*x*(x^2+6*x+1)/(x-1)^4 + O(x^100))) \\ _Colin Barker_, Jun 28 2015 %Y A259110 Cf. A000447. %K A259110 nonn,easy %O A259110 0,2 %A A259110 _N. J. A. Sloane_, Jun 24 2015