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.

A024094 8^n-n^6.

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%I A024094 #17 Jul 08 2025 17:27:37
%S A024094 1,7,0,-217,0,17143,215488,1979503,16515072,133686287,1072741824,
%T A024094 8588163031,68716490752,549750987079,4398038981568,35184360698207,
%U A024094 281474959933440,2251799789547679,18014398475469760,144115188028809991
%N A024094 8^n-n^6.
%H A024094 Vincenzo Librandi, <a href="/A024094/b024094.txt">Table of n, a(n) for n = 0..400</a>
%H A024094 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (15,-77,203,-315,301,-175,57,-8).
%F A024094 G.f.: (7*x^7+462*x^6+2338*x^5+2149*x^4+119*x^3-28*x^2-8*x+1) / ((x-1)^7*(8*x-1)). - _Colin Barker_, Dec 04 2014
%t A024094 Table[8^n-n^6,{n,0,30}] (* or *) LinearRecurrence[{15,-77,203,-315,301,-175,57,-8},{1,7,0,-217,0,17143,215488,1979503},30] (* _Harvey P. Dale_, Nov 02 2017 *)
%o A024094 (Magma) [8^n-n^6: n in [0..20]]; // _Vincenzo Librandi_, Jul 05 2011
%o A024094 (PARI) Vec((7*x^7+462*x^6+2338*x^5+2149*x^4+119*x^3-28*x^2-8*x+1)/((x-1)^7*(8*x-1)) + O(x^100)) \\ _Colin Barker_, Dec 04 2014
%K A024094 sign,easy
%O A024094 0,2
%A A024094 _N. J. A. Sloane_