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.

A086944 a(n) = k where R(k+8) = 5.

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%I A086944 #21 Apr 30 2025 16:23:31
%S A086944 42,492,4992,49992,499992,4999992,49999992,499999992,4999999992,
%T A086944 49999999992,499999999992,4999999999992,49999999999992,
%U A086944 499999999999992,4999999999999992,49999999999999992,499999999999999992,4999999999999999992,49999999999999999992,499999999999999999992
%N A086944 a(n) = k where R(k+8) = 5.
%H A086944 Vincenzo Librandi, <a href="/A086944/b086944.txt">Table of n, a(n) for n = 1..300</a>
%H A086944 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-10).
%F A086944 a(n) = 5*10^n - 8.
%F A086944 R(a(n)) = A086941(n).
%F A086944 From _Elmo R. Oliveira_, Apr 30 2025: (Start)
%F A086944 G.f.: 6*x*(5*x+7)/((x-1)*(10*x-1)).
%F A086944 E.g.f.: 3 - 8*exp(x) + 5*exp(10*x).
%F A086944 a(n) = 11*a(n-1) - 10*a(n-2) for n > 2. (End)
%o A086944 (Magma) [5*10^n-8: n in [1..25] ]; // _Vincenzo Librandi_, Aug 22 2011
%Y A086944 Cf. A004086, A086941.
%K A086944 nonn,base,easy
%O A086944 1,1
%A A086944 _Ray Chandler_, Jul 24 2003