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 A085540 #33 Jul 02 2023 02:18:25
%S A085540 0,8,54,192,500,1080,2058,3584,5832,9000,13310,19008,26364,35672,
%T A085540 47250,61440,78608,99144,123462,152000,185220,223608,267674,317952,
%U A085540 375000,439400,511758,592704,682892,783000,893730,1015808,1149984,1297032,1457750,1632960
%N A085540 a(n) = n*(n + 1)^3.
%H A085540 Vincenzo Librandi, <a href="/A085540/b085540.txt">Table of n, a(n) for n = 0..1000</a>
%H A085540 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A085540 a(n) = 2*A092364(n+1). - _Zerinvary Lajos_, May 09 2007
%F A085540 G.f.: -2*x*(4 + 7*x + x^2)/(x - 1)^5. - _R. J. Mathar_, Mar 10 2011
%F A085540 a(n) = A085537(n-1). - _Eric W. Weisstein_, Sep 08 2017
%F A085540 E.g.f.: exp(x)*x*(8 + 19*x + 9*x^2 + x^3). - _Stefano Spezia_, Jun 10 2023
%F A085540 From _Amiram Eldar_, Jul 02 2023: (Start)
%F A085540 Sum_{n>=1} 1/a(n) = 3 - Pi^2/6 - zeta(3).
%F A085540 Sum_{n>=1} (-1)^(n+1)/a(n) = Pi^2/12 + 2*log(2) + 3*zeta(3)/4 - 3. (End)
%t A085540 Table[n (n + 1)^3, {n, 0, 40}] (* _Vincenzo Librandi_, Aug 15 2016 *)
%t A085540 LinearRecurrence[{5,-10,10,-5,1},{0,8,54,192,500},40] (* _Harvey P. Dale_, May 06 2019 *)
%o A085540 (Magma) [n*(n+1)^3: n in [0..40]]; // _Vincenzo Librandi_, Aug 15 2016
%Y A085540 Cf. A085537 (same sequence with a 0 prepended), A092364.
%K A085540 nonn,easy
%O A085540 0,2
%A A085540 _N. J. A. Sloane_, Jul 05 2003