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 A168364 #42 Jan 17 2025 19:34:22
%S A168364 0,1,80,1215,8704,40625,143856,420175,1064960,2421009,5050000,9824111,
%T A168364 18040320,31559905,52975664,85809375,134742016,205879265,307054800,
%U A168364 448173919,641600000,902586321,1249755760,1705630895,2297217024
%N A168364 a(n) = n^5*(n^2 + 1)/2.
%H A168364 Vincenzo Librandi, <a href="/A168364/b168364.txt">Table of n, a(n) for n = 0..10000</a>
%H A168364 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A168364 G.f.: x*(1 + 72*x + 603*x^2 + 1168*x^3 + 603*x^4 + 72*x^5 + x^6)/(1-x)^8. - _Harvey P. Dale_, Apr 22 2011
%F A168364 a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8). - _G. C. Greubel_, Jul 19 2016
%F A168364 a(n) = A000217(n)^4 - A000217(n-1)^4. - _Kelvin Voskuijl_, Jan 16 2025
%t A168364 Table[n^5(n^2+1)/2,{n,0,25}] (* _Harvey P. Dale_, Apr 22 2011 *)
%t A168364 LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1},{0, 1, 80, 1215, 8704, 40625, 143856, 420175}, 50] (* _G. C. Greubel_, Jul 19 2016 *)
%o A168364 (Magma) [n^5*(n^2+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 28 2011
%Y A168364 Cf. A000578 (first differences of squares of triangular numbers), A357178 (of their cubes), A059977 (partial sums), A000217.
%K A168364 nonn,easy
%O A168364 0,3
%A A168364 _N. J. A. Sloane_, Dec 11 2009