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.

A198698 a(n) = 3*10^n - 1.

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%I A198698 #22 Jun 14 2025 10:38:05
%S A198698 2,29,299,2999,29999,299999,2999999,29999999,299999999,2999999999,
%T A198698 29999999999,299999999999,2999999999999,29999999999999,
%U A198698 299999999999999,2999999999999999,29999999999999999,299999999999999999,2999999999999999999,29999999999999999999,299999999999999999999
%N A198698 a(n) = 3*10^n - 1.
%H A198698 Vincenzo Librandi, <a href="/A198698/b198698.txt">Table of n, a(n) for n = 0..200</a>
%H A198698 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-10).
%F A198698 a(n) = 10*a(n-1) + 9, a(0)=2.
%F A198698 a(n) = 11*a(n-1) - 10*a(n-2), n>1.
%F A198698 G.f.: (2+7*x)/((10*x-1)*(x-1)). - _R. J. Mathar_, Oct 30 2011
%F A198698 E.g.f.: exp(x)*(3*exp(9*x) - 1). - _Elmo R. Oliveira_, Jun 13 2025
%o A198698 (Magma) [3*10^n-1: n in [0..30]];
%Y A198698 Cf. A002283, A109002.
%K A198698 nonn,easy
%O A198698 0,1
%A A198698 _Vincenzo Librandi_, Oct 29 2011