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.

A024078 a(n) = 7^n - n^3.

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%I A024078 #11 Sep 08 2022 08:44:48
%S A024078 1,6,41,316,2337,16682,117433,823200,5764289,40352878,282474249,
%T A024078 1977325412,13841285473,96889008210,678223070105,4747561506568,
%U A024078 33232930565505,232630513982294,1628413597904617,11398895185366284,79792266297604001,558545864083274746
%N A024078 a(n) = 7^n - n^3.
%H A024078 Vincenzo Librandi, <a href="/A024078/b024078.txt">Table of n, a(n) for n = 0..500</a>
%H A024078 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (11,-34,46,-29,7).
%F A024078 From _Colin Barker_, Oct 05 2018: (Start)
%F A024078 G.f.: (1 + x)*(1 - 6*x + 15*x^2 + 8*x^3) / ((1 - x)^4*(1 - 7*x)).
%F A024078 a(n) = 11*a(n-1) - 34*a(n-2) + 46*a(n-3) - 29*a(n-4) + 7*a(n-5) for n>4.
%F A024078 (End)
%o A024078 (Magma) [7^n-n^3: n in [0..25]]; // _Vincenzo Librandi_, Jul 03 2011
%o A024078 (PARI) Vec((1 + x)*(1 - 6*x + 15*x^2 + 8*x^3) / ((1 - x)^4*(1 - 7*x)) + O(x^30)) \\ _Colin Barker_, Oct 05 2018
%K A024078 nonn,easy
%O A024078 0,2
%A A024078 _N. J. A. Sloane_