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.

A024055 a(n) = 5^n - n^6.

This page as a plain text file.
%I A024055 #23 Sep 08 2022 08:44:48
%S A024055 1,4,-39,-604,-3471,-12500,-31031,-39524,128481,1421684,8765625,
%T A024055 47056564,241154641,1215876316,6095986089,30506187500,152571113409,
%U A024055 762915315556,3814663253401,19073439282244,95367367640625
%N A024055 a(n) = 5^n - n^6.
%H A024055 Vincenzo Librandi, <a href="/A024055/b024055.txt">Table of n, a(n) for n = 0..300</a>
%H A024055 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (12, -56, 140, -210, 196, -112, 36, -5).
%F A024055 a(n) = 12*a(n-1) - 56*a(n-2) + 140*a(n-3) - 210*a(n-4) + 196*a(n-5) - 112*a(n-6) + 36*a(n-7) - 5*a(n-8), a(0)=1, a(1)=4, a(2)=-39, a(3)=-604, a(4)=-3471, a(5)=-12500, a(6)=-31031, a(7)=-39524. - _Harvey P. Dale_, Jul 21 2011
%F A024055 G.f.: (1 - 8*x - 31*x^2 - 52*x^3 + 1243*x^4 + 1432*x^5 + 291*x^6 + 4*x^7)/((1-5*x)*(1-x)^7). - _Bruno Berselli_, Jul 21 2011
%t A024055 Table[5^n-n^6,{n,0,60}] (* _Vladimir Joseph Stephan Orlovsky_, Feb 15 2011 *)
%t A024055 LinearRecurrence[{12,-56,140,-210,196,-112,36,-5},{1,4,-39,-604,-3471,-12500,-31031,-39524},61] (* _Harvey P. Dale_, Jul 21 2011 *)
%o A024055 (Magma) [5^n-n^6: n in [0..30]]; // _Vincenzo Librandi_, Jul 03 2011
%K A024055 sign,easy
%O A024055 0,2
%A A024055 _N. J. A. Sloane_