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 A271208 #30 Jun 27 2025 23:42:07
%S A271208 -1,1,33,245,1027,3129,7781,16813,32775,59057,100009,161061,248843,
%T A271208 371305,537837,759389,1048591,1419873,1889585,2476117,3200019,4084121,
%U A271208 5153653,6436365,7962647,9765649,11881401,14348933,17210395,20511177,24300029,28629181,33554463
%N A271208 a(n) = n^5 + n - 1.
%H A271208 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A271208 a(n) = A271209(n) - 2.
%F A271208 From _Wesley Ivan Hurt_, Apr 02 2016: (Start)
%F A271208 G.f.: (-1 + 7*x + 12*x^2 + 82*x^3 + 17*x^4 + 3*x^5) / (x-1)^6.
%F A271208 a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5)- a (n-6), n > 5. (End)
%F A271208 a(n) = A131471(n) - 1. - _Omar E. Pol_, Apr 05 2016
%p A271208 A271208:=n->n^5 + n - 1: seq(A271208(n), n=0..40); # _Wesley Ivan Hurt_, Apr 02 2016
%t A271208 Table[n^5+n-1, {n, 0, 100}] (* _Waldemar Puszkarz_, Apr 02 2016 *)
%t A271208 LinearRecurrence[{6,-15,20,-15,6,-1},{-1,1,33,245,1027,3129},40] (* _Harvey P. Dale_, Sep 02 2020 *)
%o A271208 (Magma) [n^5+n-1: n in [0..100]];
%o A271208 (PARI) for(n=0, 100, print1(n^5+n-1, ", ")) \\ _Waldemar Puszkarz_, Apr 02 2016
%Y A271208 Cf. A003627, A016789, A131471, A161945, A271209.
%K A271208 sign,easy
%O A271208 0,3
%A A271208 _Jaroslav Krizek_, Apr 02 2016