cp's OEIS Frontend

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.

A259320 a(n) = 2*n*A259319(n) - A259110(n)^2.

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%I A259320 #27 Mar 01 2020 16:39:44
%S A259320 0,256,3584,21504,84480,256256,652288,1462272,2976768,5617920,9974272,
%T A259320 16839680,27256320,42561792,64440320,94978048,136722432,192745728,
%U A259320 266712576,362951680,486531584,643340544,840170496,1084805120,1386112000,1754138880,2200214016
%N A259320 a(n) = 2*n*A259319(n) - A259110(n)^2.
%H A259320 Colin Barker, <a href="/A259320/b259320.txt">Table of n, a(n) for n = 1..1000</a>
%H A259320 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 A259320 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 A259320 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A259320 a(n) = (64*(n^2-5*n^4+4*n^6))/45. - _Colin Barker_, Jun 29 2015
%F A259320 G.f.: -256*x^2*(x+1)*(x^2+6*x+1) / (x-1)^7. - _Colin Barker_, Jun 29 2015
%e A259320 n=3: 3584 = 6*1414 - 70^2.
%t A259320 LinearRecurrence[{7,-21,35,-35,21,-7,1},{0,256,3584,21504,84480,256256,652288},40] (* _Harvey P. Dale_, Mar 01 2020 *)
%o A259320 (PARI) concat(0, Vec(-256*x^2*(x+1)*(x^2+6*x+1)/(x-1)^7 + O(x^100))) \\ _Colin Barker_, Jun 29 2015
%Y A259320 Cf. A259110, A259319.
%K A259320 nonn,easy
%O A259320 1,2
%A A259320 _N. J. A. Sloane_, Jun 24 2015