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 A168507 #23 Mar 20 2025 04:16:19
%S A168507 0,1,16400,7174575,536871424,15258790625,235092496176,2373780763375,
%T A168507 17592186060800,102945566076849,500000000050000,2088624084788351,
%U A168507 7703510787417600,25592946507231025,77784047779175024,218946945190809375,576460752303947776
%N A168507 a(n) = n^5*(n^10 + 1)/2.
%H A168507 Vincenzo Librandi, <a href="/A168507/b168507.txt">Table of n, a(n) for n = 0..10000</a>
%H A168507 <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (16,-120,560,-1820,4368,-8008,11440,-12870,11440,-8008,4368,-1820,560,-120,16,-1).
%F A168507 G.f.: x*(1 + 16384*x + 6912295*x^2 + 424045664*x^3 + 7520614661*x^4 + 51388498688*x^5 + 155693801427*x^6 + 223769405760*x^7 + 155693801427*x^8 + 51388498688*x^9 + 7520614661*x^10 + 424045664*x^11 + 6912295*x^12 + 16384*x^13 + x^14)/(1 - x)^16. - _Vincenzo Librandi_, Jul 24 2016
%F A168507 a(n) = A006003(n^5). - _G. C. Greubel_, Mar 20 2025
%t A168507 Table[n^5*(n^10+1)/2, {n,0,30}] (* _G. C. Greubel_, Jul 24 2016 *)
%t A168507 LinearRecurrence[{16,-120,560,-1820,4368,-8008,11440,-12870,11440,-8008,4368,-1820,560,-120,16,-1},{0,1,16400,7174575,536871424,15258790625,235092496176, 2373780763375,17592186060800,102945566076849,500000000050000, 2088624084788351,7703510787417600,25592946507231025,77784047779175024, 218946945190809375}, 30] (* _Harvey P. Dale_, Apr 25 2017 *)
%o A168507 (Magma) [n^5*(n^10+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 29 2011
%o A168507 (SageMath)
%o A168507 def A168507(n): return n^5*(n^10 +1)//2
%o A168507 print([A168507(n) for n in range(31)]) # _G. C. Greubel_, Mar 20 2025
%Y A168507 Cf. A006003, A168351.
%K A168507 nonn,easy
%O A168507 0,3
%A A168507 _N. J. A. Sloane_, Dec 11 2009