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.

A198398 a(n) = 8^n - 8n.

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%I A198398 #28 Sep 10 2024 20:17:02
%S A198398 1,0,48,488,4064,32728,262096,2097096,16777152,134217656,1073741744,
%T A198398 8589934504,68719476640,549755813784,4398046510992,35184372088712,
%U A198398 281474976710528,2251799813685112,18014398509481840,144115188075855720,1152921504606846816,9223372036854775640
%N A198398 a(n) = 8^n - 8n.
%H A198398 Vincenzo Librandi, <a href="/A198398/b198398.txt">Table of n, a(n) for n = 0..1000</a>
%H A198398 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,-17,8).
%F A198398 a(n) = 10*a(n-1) - 17*a(n-2) + 8*a(n-3) for n > 2.
%F A198398 G.f.: (1 - 10*x + 65*x^2)/((1 - 8*x)*(1 -x)^2). - _Vincenzo Librandi_, Jan 04 2013
%F A198398 E.g.f.: exp(x)*(exp(7*x) - 8*x). - _Elmo R. Oliveira_, Sep 10 2024
%t A198398 CoefficientList[Series[(1 - 10*x + 65*x^2)/((1 - 8*x)*(1 -x)^2), {x, 0, 30}], x] (* _Vincenzo Librandi_, Jan 04 2013 *)
%t A198398 LinearRecurrence[{10,-17,8},{1,0,48},30] (* _Harvey P. Dale_, Mar 13 2023 *)
%o A198398 (Magma) [8^n-8*n: n in [0..25]];
%o A198398 (PARI) a(n)=8^n-8*n \\ _Charles R Greathouse IV_, Jul 06 2017
%Y A198398 Cf. A005803, A107583, A107584, A107585.
%K A198398 nonn,easy
%O A198398 0,3
%A A198398 _Vincenzo Librandi_, Oct 26 2011