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 A230586 #31 Aug 10 2025 11:55:19
%S A230586 1,2,123,724,2525,6726,15127,30248,55449,95050,154451,240252,360373,
%T A230586 524174,742575,1028176,1395377,1860498,2441899,3160100,4037901,
%U A230586 5100502,6375623,7893624,9687625,11793626,14250627,17100748,20389349,24165150,28480351,33390752
%N A230586 a(n) = n^5 - 5*n^3 + 5*n.
%C A230586 Numbers k such that the polynomial x^10 - k*x^5 + 1 is reducible (see paper in A231123).
%C A230586 Second row of A231123.
%H A230586 Kelvin Voskuijl, <a href="/A230586/b230586.txt">Table of n, a(n) for n = 1..10000</a>
%H A230586 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F A230586 G.f.: x*(1 - 4*x + 126*x^2 - 4*x^3 + x^4)/(1 - x)^6. - _Vincenzo Librandi_, Jan 11 2015
%t A230586 Table[n^5-5n^3+5n,{n,30}] (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{1,2,123,724,2525,6726},30] (* _Harvey P. Dale_, Jan 10 2015 *)
%t A230586 CoefficientList[Series[(1 - 4 x + 126 x^2 - 4 x^3 + x^4) / (1 - x)^6, {x, 0, 40}], x] (* _Vincenzo Librandi_, Jan 11 2015 *)
%o A230586 (PARI) for(n=1,10^10,if(!polisirreducible(x^10-n*x^5+1),print1(n,", ")));
%o A230586 (Magma) [n^5 - 5*n^3 + 5*n: n in [1..40]]; // _Vincenzo Librandi_, Jan 11 2015
%Y A230586 Cf. A230584, A231123.
%K A230586 nonn,easy
%O A230586 1,2
%A A230586 _Ralf Stephan_, Oct 24 2013
%E A230586 More terms from _Vincenzo Librandi_, Jan 11 2015