cp's OEIS Frontend

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.

A272162 a(n) = n^5-n+1.

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%I A272162 #28 May 12 2025 10:13:19
%S A272162 1,1,31,241,1021,3121,7771,16801,32761,59041,99991,161041,248821,
%T A272162 371281,537811,759361,1048561,1419841,1889551,2476081,3199981,4084081,
%U A272162 5153611,6436321,7962601,9765601,11881351,14348881,17210341,20511121,24299971,28629121,33554401,39135361,45435391
%N A272162 a(n) = n^5-n+1.
%C A272162 This is the simplest polynomial whose roots cannot be expressed in terms of radicals.
%H A272162 Wikipedia, <a href="https://en.wikipedia.org/wiki/Quintic_function#Finding_roots_of_a_quintic_equation">Finding roots of a quintic equation</a>
%H A272162 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A272162 G.f.: ( 1-5*x+40*x^2+50*x^3+35*x^4-x^5 ) / (x-1)^6. - _R. J. Mathar_, Apr 26 2016
%t A272162 Table[n^5 - n + 1, {n, 0, 34}] (* _Michael De Vlieger_, Apr 26 2016 *)
%Y A272162 Cf. A271209
%K A272162 nonn,easy
%O A272162 0,3
%A A272162 _Benjamin Przybocki_, Apr 23 2016