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.

A024041 a(n) = 4^n - n^5.

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%I A024041 #16 Sep 08 2022 08:44:48
%S A024041 1,3,-16,-179,-768,-2101,-3680,-423,32768,203095,948576,4033253,
%T A024041 16528384,66737571,267897632,1072982449,4293918720,17178449327,
%U A024041 68717587168,274875430845,1099508427776
%N A024041 a(n) = 4^n - n^5.
%H A024041 Vincenzo Librandi, <a href="/A024041/b024041.txt">Table of n, a(n) for n = 0..500</a>
%F A024041 From _Chai Wah Wu_, Jul 10 2016: (Start)
%F A024041 a(n) = 10*a(n-1) - 39*a(n-2) + 80*a(n-3) - 95*a(n-4) + 66*a(n-5) - 25*a(n-6) + 4*a(n-7) for n > 6.
%F A024041 G.f.: (-5*x^6 - 97*x^5 - 253*x^4 - 18*x^3 + 7*x^2 + 7*x - 1)/((x - 1)^6*(4*x - 1)). (End)
%t A024041 Table[4^n-n^5,{n,0,60}] (* _Vladimir Joseph Stephan Orlovsky_, Feb 15 2011 *)
%o A024041 (Magma) [4^n-n^5: n in [0..30]]; // _Vincenzo Librandi_, Jul 02 2011
%K A024041 sign,easy
%O A024041 0,2
%A A024041 _N. J. A. Sloane_