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 A085744 #29 Jul 09 2025 10:17:38
%S A085744 0,0,28,351,2016,7750,23220,58653,130816,265356,499500,885115,1492128,
%T A085744 2412306,3763396,5693625,8386560,12066328,17003196,23519511,31996000,
%U A085744 42878430,56684628,74011861,95544576,122062500,154449100,193700403,240934176,297399466,364486500
%N A085744 a(n) = A000217(n^3) - n^3.
%H A085744 Vincenzo Librandi, <a href="/A085744/b085744.txt">Table of n, a(n) for n = 0..10000</a>
%H A085744 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A085744 a(n) = n^3*(n^3 - 1)/2. - _Vincenzo Librandi_, Sep 14 2011
%F A085744 From _Chai Wah Wu_, Aug 08 2022: (Start)
%F A085744 a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n > 6.
%F A085744 G.f.: -x^2*(x^4 + 29*x^3 + 147*x^2 + 155*x + 28)/(x - 1)^7. (End)
%F A085744 a(n) = A071232(n) - A000578(n). - _J.S. Seneschal_, Jul 08 2025
%e A085744 a(3) = T(3^3) - 3^3 = T(27) - 27 = 378 - 27 = 351.
%t A085744 Table[(n^6-n^3)/2,{n,0,60}] (* _Vladimir Joseph Stephan Orlovsky_, Feb 28 2011 *)
%t A085744 (#(#-1))/2&/@(Range[0,30]^3) (* _Harvey P. Dale_, Dec 26 2021 *)
%o A085744 (PARI) t(n)=n*(n+1)/2; for(n=0,30,print1(t(n^3)-n^3","))
%o A085744 (Magma) [n^3*(n^3-1)/2: n in [0..40]]; // _Vincenzo Librandi_, Sep 14 2011
%Y A085744 Cf. A000217.
%Y A085744 Cf. A000578, A071232.
%K A085744 nonn,easy
%O A085744 0,3
%A A085744 _Jon Perry_, Jul 21 2003