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.

A024006 a(n) = 1 - n^8.

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%I A024006 #29 Jul 08 2025 17:25:18
%S A024006 1,0,-255,-6560,-65535,-390624,-1679615,-5764800,-16777215,-43046720,
%T A024006 -99999999,-214358880,-429981695,-815730720,-1475789055,-2562890624,
%U A024006 -4294967295,-6975757440,-11019960575,-16983563040,-25599999999,-37822859360,-54875873535
%N A024006 a(n) = 1 - n^8.
%H A024006 Vincenzo Librandi, <a href="/A024006/b024006.txt">Table of n, a(n) for n = 0..420</a>
%H A024006 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
%F A024006 Sum_{n>=2} -1/a(n) = 15/16 - Pi*(coth(Pi)/8) + Pi * (sin(sqrt(2)*Pi) + sinh(sqrt(2)*Pi)) / (4*sqrt(2) * (cos(sqrt(2)*Pi) - cosh(sqrt(2)*Pi))) = A339530 = 0.0040926982992862873... . - _Vaclav Kotesovec_, Feb 14 2015
%t A024006 Table[1-n^8,{n,0,40}] (* and *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 0, -255, -6560, -65535, -390624, -1679615, -5764800, -16777215}, 40] (* _Vladimir Joseph Stephan Orlovsky_, Apr 15 2011 *)
%o A024006 (Magma) [1-n^8: n in [0..50]]; // _Vincenzo Librandi_, Apr 29 2011
%o A024006 (PARI) a(n)=1-n^8 \\ _Charles R Greathouse IV_, Oct 07 2015
%Y A024006 Cf. A024004.
%K A024006 sign,easy
%O A024006 0,3
%A A024006 _N. J. A. Sloane_